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2025
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The isochronal phase of stochastic PDE and integral equations : metastability and other properties
In: Journal of differential equations, 414 (2025), pp. 773-816inJournal
2025
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Neumann semigroup, subgraph convergence, form uniqueness, stochastic completeness and the Feller property
In: The journal of geometric analysis, 35 (2025) 1, p. 14inJournal
2024
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Existence, regularity, and a strong Itô formula for the isochronal phase of SPDE
In: Electronic communications in probability, 29 (2024), p. 56inJournal
2024
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Lipschitz regularity of sub-elliptic harmonic maps into CAT(0) spaces
In: Journal für die reine und angewandte Mathematik (Crelle's Journal), (2024)Preprint
2024
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A dynamical model of platform choice and online segregation
Preprint
2024
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Fuzzy simplicial sets and their application to geometric data analysis
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2024
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IsUMap : manifold learning and data visualization leveraging Vietoris-Rips filtrations
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2024
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Transit functions and pyramid-like binary clustering systems
In: Discrete applied mathematics, 357 (2024), pp. 365-384inJournal
2024
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On complementarity and distribution of imaginarity in finite dimensions
In: Results in physics, 60 (2024), p. 107671inJournal
2024
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Monotone metric tensors in quantum information geometry
In: International journal of geometric methods in modern physics, 21 (2024) 10, p. 2440004inJournal
2024
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Parametric models and information geometry on W*-algebras
In: Information geometry, 7 (2024) 1 supplement, pp. 329-354inBook
2024
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Stability and approximations for decorated reeb spaces
In: 40th international symposium on computational geometry, SoCG 2024, June 11-14, 2024, Athens, Greece ; proceedings / Wolfgang Mulzer... (eds.)Wadern : Schloss Dagstuhl, Leibniz Zentrum für Informatik, 2024. - pp. 44.1-44.17
Preprint
2024
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A note on Steinerberger's curvature for graphs
inJournal
2024
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Minimal graphs of arbitrary codimension in Euclidean space with bounded 2-dilation
In: Mathematische Annalen, 390 (2024) 3, pp. 3355-3418inJournal
2024
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Chemically inspired Erdös-Rényi oriented hypergraphs
In: Journal of mathematical chemistry, 62 (2024) 6, pp. 1357-1383inBook
2024
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The theory of gene family histories
In: Comparative genomics : methods and protocols / Peter F. Stadler... (eds.)New York : Humana, 2024. - pp. 1-32
(Methods in molecular biology)
Preprint
2024
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Metric reconstruction in Kerr spacetime
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2024
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The fast Möbius transform : an algebraic approach to information decomposition
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2024
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Cohomological field theories and generalized Seiberg-Witten equations
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2024
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A mathematical model for cognitive structures and processes underlying innovations
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2024
Geschichte der Chemie neu denken
In: Nachrichten aus der Chemie, 72 (2024) 4, pp. 89-89Preprint
2024
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Entropic curvature not comparable to other curvatures - or is it?
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2024
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Mildly overparameterized ReLU networks have a favorable loss landscape
(Transactions on machine learning research)Preprint
2024
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Symmetry and generalization in local learning of predictive representations
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2024
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Gradient estimates, Bakry-Emery Ricci curvature and ellipticity for unbounded graph Laplacians
In: Communications in analysis and geometry, 32 (2024) 2, pp. 343-364inJournal
2024
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Natural differentiable structures on statistical models and the Fisher metric
In: Information geometry, 7 (2024) 1 supplement, pp. 271-291inJournal
2024
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Classical multidimensional scaling on metric measure spaces
In: Information and inference, 13 (2024) 2, iaae007inJournal
2024
Full quantum eigensolvers based on variance
In: Physica scripta, 99 (2024) 9, p. 095207inJournal
2024
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Rigidity properties of the hypercube via Bakry-Émery curvature
In: Mathematische Annalen, 388 (2024) 2, pp. 1225-1259inJournal
2024
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Are the chemical families still there? Formal structure of similarity of elements and its thermochemical domain
In: Proceedings of the Royal Society of London / A, 480 (2024) 2298, p. 20240165inJournal
2024
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Bakry-ÔEmery-Ricci curvature : an alternative network geometry measure in the expanding toolbox of graph Ricci curvatures
In: Journal of complex networks, 12 (2024) 3, cnae019inJournal
2024
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A measure-theoretic representation of graphs
In: Periodica mathematica Hungarica, 88 (2024) 1, pp. 8-24inJournal
2024
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Maximal colourings for graphs
In: Graphs and combinatorics, 40 (2024) 5, p. 93inJournal
2024
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There is no going back : Properties of the non-backtracking Laplacian
In: Linear algebra and its applications, 680 (2024), pp. 341-370inJournal
2024
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Aberrant mitochondrial tRNA genes appear frequently in animal
In: Genome biology and evolution, (2024)inJournal
2024
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Reaction rebalancing : a novel approach to curating reaction databases
In: Journal of cheminformatics, 16 (2024), p. 82Preprint
2024
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A graph-based approach to extracting narrative signals from public discourse
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2024
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Spaces of mathematical chemistry
In: Theory in biosciences, (2024)inJournal
2024
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Exploring the space of graphs with fixed discrete curvatures
In: Journal of physics : complexity, 5 (2024) 3, p. 035011inJournal
2024
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The string topology coproduct on complex and quaternionic projective space
In: Manuscripta mathematica, (2024)inJournal
2024
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An existence result for the Kazdan-Warner equation with a sign-changing prescribed function
In: Calculus of variations and partial differential equations, 63 (2024) 2, p. 52Academic
2024
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Metaphor theory study through diachronic data analysis
Dissertation, Universität Leipzig, 2024inJournal
2024
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Quantum partial coherence measures constructed from Fisher information
In: Physica scripta, 99 (2024) 12, p. 125110inJournal
2024
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Tighter sum uncertainty relations via (\({\alpha}\),\({\beta}\),\({\gamma}\)) weighted Wigner-Yanase-Dyson skew information
In: Communications in theoretical physics, 76 (2024) 3, p. 035102inJournal
2024
Nonlinearity-induced enhancement of entanglement in quantum walk
In: Advanced quantum technologies, (2024)Academic
2023
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Quasi-ergodicity of SPDE : spectral theory and phase reduction
Dissertation, Universität Leipzig, 2023inJournal
2023
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The asymptotic frequency of stochastic oscillators
In: SIAM journal on applied dynamical systems, 22 (2023) 1, pp. 311-338Preprint
2023
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On metrics for analysis of functional data on geometric domains
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2023
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Universal mappings and analysis of functional data on geometric domains
inJournal
2023
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Old and new challenges in Hadamard spaces
In: Japanese journal of mathematics, 18 (2023) 2, pp. 115-168inJournal
2023
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Biased processing and opinion polarization : experimental refinement of argument communication theory in the context of the energy debate
In: Sociological methods and research, (2023)inBook
2023
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A geometric framework to compare PDEs and classical field theories
In: Groups, invariants, integrals, and mathematical physics : the Wisła 20-21 winter school and workshop / Maria Ulan... (eds.)Cham : Birkhäuser, 2023. - pp. 177-251
(Tutorials, schools, and workshops in the mathematical sciences)
inJournal
2023
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The six stages of the convergence of the periodic system to its final structure
In: Communications chemistry, 6 (2023), p. 87inBook
2023
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The Weisfeiler-Lehman distance : reinterpretation and connection with GNNs
In: Proceedings of the 2nd annual topology, algebra, and geometry in machine learning[s. l.] : PMLR, 2023. - pp. 404-425
(Proceedings of machine learning research ; 221)
Preprint
2023
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A coadjoint orbit-like construction for Jordan superalgebras
inJournal
2023
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Information geometry, Jordan algebras, and a coadjoint orbit-like construction
In: Symmetry, integrability and geometry : methods and applications (SIGMA), 19 (2023), p. 078Preprint
2023
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Convergence of leray dosheaves for decorated mapper graphs
inBook
2023
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Topologically attributed graphs for shape discrimination
In: Proceedings of 2nd annual workshop on topology, algebra, and geometry in machine learning[s. l.] : PMLR, 2023. - pp. 87-101
(Proceedings of machine learning research ; 221)
Preprint
2023
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Bakry-Émery and Ollivier Ricci curvature of Cayley graphs
Preprint
2023
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Uniform density in matroids, matrices and graphs
inJournal
2023
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Scale free avalanches in excitatory-inhibitory populations of spiking neurons with conductance based synaptic currents
In: Journal of computational neuroscience, 51 (2023) 1, pp. 149-172inJournal
2023
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Opinion manipulation on Farsi Twitter
In: Scientific reports, 13 (2023), p. 333inJournal
2023
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Grounding force-directed network layouts with latent space models
In: Journal of computational social science, 6 (2023), pp. 707-739Preprint
2023
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Some variants of discrete positive mass theorems on graphs
Preprint
2023
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A compositional game to fairly divide homogeneous cake
Preprint
2023
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Reverse Bernstein inequality on the circle
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2023
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Computational history : challenges and opportunities of formal approaches
In: Journal of social computing, 4 (2023) 3, pp. 232-242inJournal
2023
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Geometric algebra for sets with betweenness relations
In: Beiträge zur Algebra und Geometrie, 64 (2023) 3, pp. 555-579inJournal
2023
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Petals and books : the largest Laplacian spectral gap from 1
In: Journal of graph theory, 104 (2023) 4, pp. 727-756inJournal
2023
Self reinforcing mechanisms driving the evolution of the chemical space
In: Perspectives on science, 31 (2023), pp. 555-593inJournal
2023
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Spectral theory of the non-backtracking Laplacian for graphs
In: Discrete mathematics, 346 (2023) 10, p. 113536Preprint
2023
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Bakry-Émery calculus for entropic curvature, new diameter estimates, and spectral gaps
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2023
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Temperature scaling analysis of the 3D disordered Ising model with power-law correlated defects
In: Condensed matter physics, 26 (2023) 1, p. 13201inJournal
2023
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Algorithmic aspects of information theory : Dagstuhl Seminar 22301
In: Dagstuhl reports, 12 (2023) 7, pp. 180-204inJournal
2023
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Assisted quantum simulation of open quantum systems
In: iScience, 26 (2023) 4, p. 106306inJournal
2023
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Characterizing the superposition of arbitrary random quantum states and a known quantum state
In: Results in physics, 49 (2023), p. 106510inJournal
2023
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The Gromov-Hausdorff distance between spheres
In: Geometry and topology, 27 (2023) 9, pp. 3733-3800Preprint
2023
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Improving the reliability of fMRI-based predictions of intelligence via semi-blind machine learning
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2023
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Geodesic complexity of homogeneous Riemannian manifolds
In: Algebraic and geometric topology, 23 (2023) 5, pp. 2221-2270inJournal
2023
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Geodesic complexity via fibered decompositions of cut loci
In: Journal of applied and computational topology, 7 (2023) 3, pp. 397-425inJournal
2023
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Interview with László Lovász
In: EMS magazine, 130 (2023), pp. 21-25inJournal
2023
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On Turán numbers for disconnected hypergraphs
In: Acta mathematica hungarica, 170 (2023) 1, pp. 168-182inJournal
2023
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Ergodicity for singular-degenerate stochastic porous media equations
In: Journal of dynamics and differential equations, 35 (2023) 2, pp. 1561-1584Academic
2023
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From RNA folding to inverse folding : a computational study
Dissertation, Universität Leipzig, 2023Preprint
2023
Repository Open Access
Analyzing climate change contrarian argumentation on Reddit
inJournal
2023
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Order-disorder transition in the zero-temperature Ising model on random graphs
In: Physical review / E, 107 (2023) 5, p. 054112inJournal
2023
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Inferring attitudinal spaces in social networks
In: Social network analysis and mining, 13 (2023) 1, p. 14inJournal
2023
Journal Open Access
Diversity enables the jump towards cooperation for the Traveler's Dilemma
In: Scientific reports, 13 (2023), p. 1441Preprint
2023
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Game manipulators : the strategic implications of binding contracts
inJournal
2023
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Continuity and additivity properties of information decompositions
In: International journal of approximate reasoning, 161 (2023), p. 108979inBook
2023
Approaching history of chemistry through big data on chemical reactions and compounds
In: Big data analytics in chemoinformatics and bioinformatics : with applications to computer-aided drug design, cancer biology, emerging pathogens and computational toxicology / Subhash C. Basak... (eds.)Amsterdam : Elsevier, 2023. - pp. 171-186
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2023
Book review: '150 years of the periodic table : a commemorative symposium', by Carmen J. Giunta, Vera V. Mainz, and Gregory S. Girolami, Springer, 2021
In: Ambix, 70 (2023) 1, pp. 102-104inJournal
2023
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Correction: 'Chemical space : limits, evolution and modelling of an object bigger than our universal library' [In: Digital discovery, 1(2022)5,p. 568-585]
In: Digital discovery : a journal for new thinking on machine learning, robotics and AI, 2 (2023) 1, pp. 246-247inJournal
2023
Rainer Brüggemann : pioneer of ordering theory in chemistry and environmental sciences
In: Toxicological and environmental chemistry, 105 (2023) 1-7, pp. 144-146inJournal
2023
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On the nonexistent Nobel Prizes for two pioneers of modern physical organic chemistry : Sir Christopher K. Ingold and Saul Winstein
In: Journal of physical organic chemistry, 36 (2023) 10, e4551inJournal
2023
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The uncertain role of nominations for the Nobel Prize in chemistry
In: Chemistry : a European journal, 29 (2023) 36, e202203985inJournal
2023
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Quick estimate of information decomposition for text style transfer
In: Entropy, 25 (2023) 2, p. 322Academic
2023
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On global properties of geodesics : the string topology coproduct and geodesic complexity
Dissertation, Universität Leipzig, 2023Academic
2023
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Expected complexity and gradients of deep maxout neural networks and implications to parameter initialization
Dissertation, Universität Leipzig, 2023inBook
2023
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Expected gradients of maxout networks and consequences to parameter initialization
In: Proceedings of the 40th international conference on machine learning : , 23-29 July 2023, Honolulu, Hawaii, USA[s. l.] : PMLR, 2023. - pp. 34491-34532
(Proceedings of machine learning research ; 202)
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2023
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Discrete Ricci curvatures capture age-related changes in human brain functional connectivity networks
In: Frontiers in aging neuroscience, 15 (2023), p. 1120846inJournal
2023
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Monogamy of entanglement for tripartite systems
In: Physical review / A, 107 (2023) 5, p. 052404inJournal
2022
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A strategy-based algorithm for moving targets in an environment with multiple agents
In: SN Computer Scienc, 3 (2022) 6, p. 435inJournal
2022
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Signless normalized Laplacian for hypergraphs
In: Electronic journal of graph theory and applications, 10 (2022) 2, pp. 485-500inBook
2022
Repository Open Access
Information and complexity, or: Where is the information?
In: Complexity and emergence : Lake Como School of Advanced Studies, Italy, July 22-27, 2018 / Sergio Albeverio... (eds.)Cham : Springer, 2022. - pp. 87-105
(Springer proceedings in mathematics and statistics ; 383)
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2022
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Modelling spirals of silence and echo chambers by learning from the feedback of others
In: Entropy, 24 (2022) 10, p. 1484inJournal
2022
Repository Open Access
Coupled hypergraph maps and chaotic cluster synchronization
In: epl, 136 (2022) 4, p. 4005inBook
2022
Journal Open Access
Weisfeiler-Lehman meets Gromov-Wasserstein
In: Proceedings of the 39th international conference on machine learning : , 17-23 July 2022, Baltimore, Maryland, USA[s. l.] : PMLR, 2022. - pp. 3371-3416
(Proceedings of machine learning research ; 162)
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2022
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Group actions and monotone quantum metric tensors
In: Mathematics : open access journal, 10 (2022) 15, p. 2613Academic
2022
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Topological and geometric methods with a view towards data analysis
Dissertation, Universität Leipzig, 2022inJournal
2022
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Graph Ricci curvatures reveal atypical functional connectivity in autism spectrum disorder
In: Scientific reports, 12 (2022), p. 8295Academic
2022
Repository Open Access
Voice and silence in public debate: Modelling and observing collective opinion expression online
Dissertation, Universität Leipzig, 2022inJournal
2022
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Computing zero-dimensional tropical varieties via projections
In: Computational complexity, 31 (2022) 1, p. 5inJournal
2022
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A note on a rigidity estimate for degree \(\pm 1\) conformal maps on \(\mathbb{S}^2\)
In: The bulletin of the London Mathematical Society, 54 (2022) 1, pp. 256-263Preprint
2022
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Graphs with nonnegative curvature outside a finite subset, harmonic functions and number of ends
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2022
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\(p\)-Laplace operators for oriented hypergraphs
In: Vietnam journal of mathematics, 50 (2022) 2, pp. 323-358inJournal
2022
Journal Open Access
Self organized criticality in a mesoscopic model of excitatory-inhibitory neuronal populations by short-term and long-term synaptic plasticity
In: Frontiers in computational neuroscience, 16 (2022), p. 910735inJournal
2022
Journal Open Access
Spectral gap of the largest eigenvalue of the normalized graph Laplacian
In: Communications in mathematics and statistics, 10 (2022) 3, pp. 371-381Book
2022
The evolution of chemical knowledge : a formal setting for its analysis
Cham : Springer, 2022. - XIV, 122(Wissenschaft und Philosophie - Science and Philosophy - Sciences et Philosophie)
ISBN: 978-3-031-10093-2, ISBN: 978-3-031-10094-9
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2022
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Critical exponents of the Ising model in three dimensions with long-range power-law correlated site disorder : a Monte Carlo study
In: Physical review / B, 105 (2022) 21, p. 214111Academic
2022
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Ising model in three dimensions with long-range power-law correlated site disorder : a Monte Carlo study
Dissertation, Universität Leipzig, 2022inJournal
2022
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Stochastic rotating waves
In: Stochastics and dynamics, 22 (2022) 7, p. 2240029Preprint
2022
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On the string topology of symmetric spaces of higher rank
Academic
2022
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Exploration of chemical space
Dissertation, Universität Leipzig, 2022inJournal
2022
Journal Open Access
The expansion of chemical space in 1826 and in the 1840s prompted the convergence to the periodic system
In: Proceedings of the National Academy of Sciences of the United States of America, 119 (2022) 30, e2119083119inJournal
2022
Journal Open Access
The computational cost of blocking for sampling discretely observed diffusions
In: Methodology and computing in applied probability, 24 (2022) 4, pp. 3007-3027inBook
2022
Repository Open Access
Graphs, simplicial complexes and hypergraphs : spectral theory and topology
In: Higher-order systems / Federico Battiston... (eds.)Cham : Springer, 2022. - pp. 1-58
(Understanding complex systems)
inJournal
2022
Repository Open Access
Random walks and Laplacians on hypergraphs : When do they match?
In: Discrete applied mathematics, 317 (2022) 2, pp. 26-41inJournal
2022
Journal Open Access
Star complements for ±2 in signed graphs
In: Special matrices, 10 (2022) 1, pp. 258-266inJournal
2022
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The Aleph of Borges and the paradise of Cantor
In: Journal of humanistic mathematics, 12 (2022) 2, pp. 404-410Preprint
2022
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Characterizing the spectrum of the NTK via a power series expansion
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2022
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Corrigendum: ''The rise of populism and the reconfiguration of the German political space'' [In: Frontiers in big data, 4 (2021), 731349]
In: Frontiers in big data, 4 (2022), p. 833037inBook
2022
Repository Open Access
Ideological, semantic and geographic proximity drive following behaviour on Twitter
In: IC2S2 : 8th international conference on computational social ; Chicago, IL, United States, July 19-22, 20222022.
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2022
An atlas of fragrance chemicals in children's products
In: The science of the total environment : an international journal for scientific research into the environment and its relationship with man, 818 (2022), p. 151682inJournal
2022
Journal Open Access
Chemical space : limits, evolution and modelling of an object bigger than our universal library
In: Digital discovery : a journal for new thinking on machine learning, robotics and AI, 1 (2022) 5, pp. 568-585inJournal
2022
Repository Open Access
Computational history of chemistry
In: Bulletin for the history of chemistry, 47 (2022) 1, pp. 91-106inJournal
2022
Semiotic thoughts on biological sequence representations
In: Combinatorial chemistry and high throughput screening : the journal to revolutionize drug discovery, 25 (2022) 3, pp. 349-353inJournal
2022
Journal Open Access
The effects of social feedback on private opinions : empirical evidence from the laboratory
In: PLOS ONE, 17 (2022) 10, e0274903inJournal
2022
Repository Open Access
On the string topology coproduct for Lie groups
In: Homology, homotopy and applications, 24 (2022) 2, pp. 327-345Preprint
2022
Repository Open Access
Diachronic data analysis supports and refines conceptual metaphor theory
(PLOS complex systems)Preprint
2022
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Dualistic structures in information geometry
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2022
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Editorial: The computational analysis of cultural conflicts
In: Frontiers in big data, 5 (2022), p. 840584inJournal
2022
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The classical limit and spontaneous symmetry breaking in algebraic quantum theory
In: Expositiones mathematicae, 40 (2022) 3, pp. 543-571inJournal
2022
Tracking causal relations in the news : data, tools, and models for the analysis of argumentative statements in online media
In: Digital scholarship in the humanities, 37 (2022) 4, pp. 1358-1375inBook
2022
Journal Open Access
BERT in Plutarch's shadows
In: The 2022 conference on empirical methods in natural language processing : proceedings ; December 7-11, 2022Kerrville, TX : Association for Computational Linguistics, 2022. - pp. 6071-6080
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2021
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Coloring the normalized Laplacian for oriented hypergraphs
In: Linear algebra and its applications, 629 (2021), pp. 192-207inBook
2021
Repository Open Access
Multiple pursuers TrailMax algorithm for dynamic environments
In: Proceedings of the 13th international conference on agents and artificial intelligence (Volume 2) ; February 4-6, 2021 / Ana Paula Rocha... (eds.)Setúbal : SciTePress, 2021. - pp. 437-443
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2021
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Preface : special issue dedicated to Jürgen Jost's 65th birthday
In: Vietnam journal of mathematics, 49 (2021) 2, pp. 237-240Preprint
2021
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Stochastic partial differential equations arising in self-organized criticality
inJournal
2021
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An argument communication model of polarization and ideological alignment
In: The journal of artificial societies and social simulation, 24 (2021) 1, p. 1inBook
2021
Repository Open Access
Ein Dialog über die Trias Netzwerke - Performanz - Kultur im Kontext des Tagungsbandes
In: Netzwerke - Performanz - Kultur : transdisziplinäre Perspektiven und wechselseitige Bezüge / Daniel Reupke... (eds.)Würzburg : Königshausen & Neumann, 2021. - pp. 339-357
(Thurnauer Schriften zum Musiktheater ; 44)
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2021
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Corrigendum to ''Simple simulation of diffusion bridges with application to likelihood inference for diffusions''
In: Bernoulli, 27 (2021) 1, pp. 218-220inBook
2021
Cut vertex transit functions of hypergraphs
In: Algorithms and discrete applied mathematics : 7th international conference, CALDAM 2021, Rupnagar, India, February 11-13, 2021 ; proceedings / Apurva Mudgal... (eds.)Cham : Springer, 2021. - pp. 222-233
(Lecture notes in computer science ; 12601)
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2021
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