An Introduction to Resurgence Theory - Lecture 2
Explore advanced mathematical concepts in resurgence theory, delving into complex analysis and asymptotic expansions for a deeper understanding of analytical functions.
An Introduction to Resurgence Theory - Lecture 1
Explore resurgence theory's foundations, applications, and mathematical techniques in this comprehensive introduction by Ines Aniceto.
Dynamic Brittle Fracture as a Well-Posed Nonlocal Initial Value Problem
Explore a nonlocal model for dynamic brittle damage, examining its phases, evolution, and energy balance. Learn how this approach relates to Griffith fracture energy and Navier's equation for crack propagation.
The Model Theory of Hardy Fields and Linear Differential Equations
Explore Hardy fields and linear differential equations through model theory, delving into advanced mathematical concepts and their applications.
The Extremal Point Process of Branching Brownian Motion in Rd
Explore the behavior of particles in multidimensional branching Brownian motion, focusing on extremal points and their distribution over time.
On the Integrability of the Airy Kernel and Beyond
Explore integrability of the Airy kernel and related mathematical concepts in this advanced mathematical analysis presentation by Sofia Tarricone.
Phase Transitions of Composition Schemes and Their Universal Limit Laws
Explore phase transitions in composition schemes, analyzing critical cases and their impact on asymptotic behavior. Uncover rich limit laws and universal properties in combinatorial structures.
New Perspectives on Borel Summation - Lecture 3
Explore new perspectives on Borel summation through Airy-Lucas functions, examining their properties, linear ODEs, and thimble integral expressions. Gain insights from both ODE and integral equation approaches.
New Perspectives on Borel Summation - Lecture 4
Explore Airy-Lucas functions through Borel summation, focusing on thimble integrals and hypergeometric Laplace transforms. Gain insights into Stokes phenomenon reflections in the Borel plane.
New Perspectives on Borel Summation - Lecture 1
Explore new perspectives on Borel summation, focusing on linear ODEs and integrals over Lefschetz thimbles, to understand when divergent series solutions produce holomorphic solutions.
Analytic Methods in Arithmetic
Explore advanced analytic techniques in arithmetic, focusing on their applications and theoretical foundations in number theory.
Fractal Weyl Bounds
Explore fractal Weyl bounds in spectral geometry with Anke Pohl, delving into advanced mathematical concepts and their applications.
Off-Diagonal Spectral Cluster Asymptotics on Zoll Manifolds
Explore off-diagonal spectral cluster asymptotics on Zoll manifolds, examining universal asymptotic behavior of spectral cluster kernels and implications for monochromatic random waves in Riemannian geometry.
The Chromatic Number of Random Graphs
Explore the chromatic number of random graphs, focusing on lower bounds for G(n,1/2) and its limiting distribution. Discover recent advancements in graph theory and probabilistic methods.
Growth in Tensor Powers
Explore tensor power decomposition in group representations, focusing on asymptotic behavior and non-negligible summands using symmetric tensor category theory.
Geometric Stability of Weyl's Law and Applications to Asymptotic Spectral Shape Optimization
Explore geometric stability of Weyl's law and its applications to asymptotic spectral shape optimization, focusing on eigenvalue behavior in bounded Lipschitz domains.
Growth in Tensor Powers
Explore tensor power decomposition in group representations, focusing on asymptotic behavior and non-negligible summands using symmetric tensor category theory.
Asymptotic Orthogonality Relation for GL(n,R) - ICBS 2024
Explore generalized Dirichlet character orthogonality for GL(n,R), extending classical number theory to higher dimensions with applications.
The Number of Random 2-SAT Solutions is Asymptotically Log-Normal
Explore discrete probability and statistics in a month-long program featuring talks, minicourses, and collaborative sessions. Engage with researchers and delve into topics like random 2-SAT solutions.
Hydrodynamic Stability at High Reynolds Number and Transition Threshold Problem
Explores hydrodynamic stability theory, focusing on laminar flow instability and turbulence transition at high Reynolds numbers. Discusses key physical effects and recent progress in linear inviscid damping and enhanced dissipation for shear flows.
Universality of Dynamic Processes Using Drinfel'd Twisters
Explore universality in dynamic processes using Drinfel'd twisters, examining long-time asymptotics and Tracy-Widom fluctuations through quantum group duality and asymptotic analysis.