Topological and Conformal Dimensions of Self-Similar Groups
Explore topological and conformal dimensions of self-similar groups, examining their limit spaces and associated dynamical systems in geometric group theory.
A Non-symmetric Kesten Criterion for Random Walks on Groups
Explore a non-symmetric version of Kesten's criterion for random walks on countable groups, relating to amenability and probability of return to identity.
The Feynman Propagator and Self-Adjointness in Wave Operators - Lecture
Explore Feynman and anti-Feynman inverses for wave operators on Lorentzian manifolds, connecting to self-adjointness and positivity properties of wave operators.
Spectral Theory of Stationary Spacetimes - Lecture 4
Explore advanced concepts in spectral theory applied to stationary spacetimes, delving into mathematical relativity and its implications for understanding spacetime structures.
Spectral Theory of Stationary Spacetimes - Lecture 3
Explore advanced concepts in spectral theory of stationary spacetimes, building on previous lectures in the series.
Spectral Theory of Stationary Spacetimes - Part II
Explore advanced concepts in spectral theory applied to stationary spacetimes, building on foundational knowledge in mathematical relativity and quantum mechanics.
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.
Progress in the Combinatorial Understanding of Higher-Order Free Cumulants
Explore higher-order free moments and cumulants in random matrices, focusing on combinatorial derivations and decomposition of bipartite planar maps for advanced mathematical insights.
Symmetries of Discrete and Ultradiscrete Integrable Systems - Lecture 3
Explore symmetries in discrete and ultradiscrete integrable systems, focusing on KdV equation, Toda lattice, and box-ball system. Discover connections to tropical geometry and crystal base theory.
Symmetries of Discrete and Ultradiscrete Integrable Systems - Lecture 1
Explore symmetries in discrete and ultradiscrete integrable systems, focusing on KdV equation, Toda lattice, and box-ball system. Discover connections to tropical geometry and crystal base theory.
Around the Joint Behavior of Independent Random Tensor Matrices - Lecture 3
Explore advanced topics in free probability theory, focusing on joint behavior of independent random tensor matrices and symmetry groups, with applications in matrix analysis.
Around the Joint Behavior of Independent Random Tensor Matrices - Lecture 2
Explore advanced topics in free probability theory, focusing on joint behavior of independent random tensor matrices and symmetry groups, with applications in matrix analysis.
One-Loop Renormalizability of the Spectral Action Using Cyclic Cocycles
Explore one-loop renormalizability of the spectral action principle using cyclic cocycles, uncovering its cyclic structure and connections to ribbon graphs in non-commutative geometry.
Symmetries of Discrete and Ultradiscrete Integrable Systems - Lecture 2
Explore symmetries in discrete and ultradiscrete integrable systems, focusing on KdV equation, Toda lattice, and box-ball system. Discover connections to tropical geometry and crystal base theory.
Tropical Contributions to Enumerative Geometry of Target Dimension One - Lecture 3
Explore tropical geometry's impact on enumerative problems in moduli spaces of curves. Delve into tropical Hurwitz numbers, k-DR cycles, and leaky Hurwitz numbers, with insights on incorporating descendants.
Functional Relations for Higher Order Free Cumulants and Moments
Explore functional relations between generating series of cumulants and moments in higher order free probability. Gain insights into matrix models and topological recursion.
X-Y Symplectic Transformation in Topological Recursion and Applications - Lecture 3
Explore x-y symplectic transformation in topological recursion and its applications through an advanced mathematical lecture by Alexander Hock.
X-Y Symplectic Transformation in Topological Recursion and Applications - Lecture 2
Explore x-y symplectic transformations in topological recursion and their applications through an advanced mathematical lecture.
Tropical Contributions to Enumerative Geometry of Target Dimension One - Lecture 2
Explore tropical geometry's impact on enumerative problems in moduli spaces of curves. Delve into tropical Hurwitz numbers, k-DR cycles, and leaky Hurwitz numbers. Examine ongoing research on descendants in tropical algorithms.
X-Y Symplectic Transformation in Topological Recursion - Lecture 1
Explore x-y symplectic transformation in topological recursion through an in-depth lecture by Alexander Hock at the ESI workshop on non-commutative geometry.
Tropical Contributions to Enumerative Geometry of Target Dimension One - Lecture 1
Explore tropical geometry's impact on enumerative problems in moduli spaces of curves. Delve into tropical Hurwitz numbers, branch polynomials, and k-DR cycles, uncovering new perspectives in algebraic combinatorics.