Homological Percolation in a Torus
Explore homological percolation on tori, examining phase transitions in higher dimensions using algebraic topology. Discover new perspectives on percolation beyond traditional giant components.
Radon-Nikodym Topography of Amenable Equivalence Relations in Acyclic Graphs
Explore the extension of Adams's dichotomy to measure-class-preserving settings, examining Radon-Nikodym cocycle behavior in acyclic graphs and its connection to global properties like amenability.
Pathwise Entropy Solutions of SPDEs via Rank-Based Models - SIAM FME Virtual Talk
Explore pathwise entropy solutions for SPDEs, linking stochastic portfolio theory and rank-based models. Uncover probabilistic insights under Brownian motion in this advanced mathematical presentation.
Geometry of Dimer Models
Explore the asymptotic phenomena of random dimer coverings on large planar graphs, focusing on Aztec diamonds and their connection to Riemann surface geometry in this advanced mathematics lecture.
Limit Shapes of Non-Intersecting Brownian Bridges via Harmonic Envelope
Explores limit shapes of non-intersecting Brownian bridges, focusing on macroscopic patterns and connections to random Young tableaux using the tangent plane method and harmonic envelope.
Stochastic Box-Ball System - Convergence to Brownian Motion
Explore the stochastic version of the box-ball system and its convergence to semi-martingale reflecting Brownian motion in this mathematical presentation on discrete-time dynamical systems.
Vertex Model Proof of Imamura-Mucciconi-Sasamoto Correspondence
Explore vertex model proof of q-Whittaker polynomials correspondence, examining lattice path partition functions and their connection to Imamura-Mucciconi-Sasamoto's match between q-Whittaker and periodic Schur measures.
Numerical Approaches to Modelling Curved Surfaces
Explore numerical methods for modeling curved surfaces, focusing on applications in physics and biology.
Exploring Boundary Conditions of Bicolored Maps: Universal Behaviors and New Structures
Explore boundary conditions of bicolored maps, uncovering universal behaviors and new structures in map enumeration and random map models.
Constrained Stochastic Processes: From Brownian Motion to Run-and-Tumble Particles
Explore constrained stochastic processes, including Brownian motion, Lévy flights, and run-and-tumble particles. Learn effective dynamics for generating constrained trajectories in various scenarios.
The Simplest Proof of Cayley's Formula and Its Connection to Statistical Mechanics
Explore Cayley's Formula's simplest proof and its statistical mechanics connection in this insightful lecture by Alexei Rebenko from the National Academy of Sciences, Kiev.
Averaging Result for Differential Equations Perturbed by a Z-Periodic Lorentz Gas
Explore averaging results for differential equations perturbed by Z-periodic Lorentz gas, examining asymptotic behavior and convergence rates in infinite measure-preserving systems.
Poisson Limit Theorems for Systems with Product Structure
Explore Poisson Limit Theorems for product systems, focusing on return times to small sets and applications to various map combinations, including Anosov and skew products.
Generation of Stochastic Trajectories - Applications to Complex Systems
Explore stochastic trajectory generation and its applications in complex systems, focusing on interdisciplinary physics concepts and advanced modeling techniques.
Learning Coarse-Grained Dynamics on Graphs
Explore coarse-grained dynamics on graphs with John Harlim, delving into advanced machine learning techniques for dynamical systems analysis and modeling.
Graph Limit for Interacting Particle Systems on Weighted Deterministic and Random Graphs
Explore graph limits for interacting particle systems on weighted deterministic and random structures in this advanced mathematical lecture.
Gradient Flows for Sampling and Their Deterministic Interacting Particle Systems
Explore gradient flows for sampling and deterministic interacting particle systems in this mathematical conference talk by Dejan Slepčev.
Hyperbolic Voronoi Percolation
Explore hyperbolic Voronoi percolation in this mathematical conference talk. Gain insights into non-Euclidean geometry and probability theory from expert Tobias Müller.
Random Maps and Random 2-Dimensional Geometries
Explore random maps and 2D geometries, examining scaling limits, combinatorial tools, and connections to conformal random fields. Gain insights into discrete random metric surfaces and their convergence properties.
Dynamics Close to Equilibrium and Chaos - Lecture 2
Explore equilibrium dynamics and chaos, delving into advanced concepts with insights from Boston University expert Anatoly Polkovnikov.
Factorization of Density Matrices for the Critical RSOS Models
Explore integrability in condensed matter physics and quantum field theory through factorization of density matrices for critical RSOS models.