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#Spectral Gap

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Hausdorff Center for Mathematics

Random Graphs and Nonlinear Spectral Gaps

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Explore discrete Poincaré inequalities in regular expander graphs, long-range expansion properties, and their implications for Banach space-valued functions, with improved estimates for Poincaré constants.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Continuity Properties of Lyapunov Exponents - Lecture 5

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Explore the control of Lyapunov exponents using entropy in smooth surface diffeomorphisms. Gain insights into recent research on expansion of smooth unstable curves and their relation to homoclinic tangencies.
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1 Lesons
59 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Continuity Properties of Lyapunov Exponents - Lecture 7

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Explore the control of Lyapunov exponents using entropy in smooth surface diffeomorphisms. Gain insights into recent research on expansion of smooth unstable curves and their relation to homoclinic tangencies.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

A Spectral Gap for the Transfer Operator on Complex Projective Spaces - Lecture 4

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Explore the transfer operator on complex projective spaces, focusing on spectral gaps, equilibrium states, and statistical properties in holomorphic dynamics. Gain insights into pluripotential theory applications.
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1 Lesons
1 hour 36 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Continuity Properties of Lyapunov Exponents - Lectures 3 and 4

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Delve into the continuity properties of Lyapunov exponents in smooth surface diffeomorphisms, exploring entropy control and the impact of near homoclinic tangencies on unstable curve expansion.
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1 Lesons
1 hour 39 minutes
On-Demand
Free-Video
ICTP Mathematics

Dynamics of Smooth Surface Diffeomorphisms - Spectral Gap and Stochastic Properties

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Explore surface diffeomorphisms, spectral gaps, and stochastic properties in smooth dynamics. Gain insights into symbolic models, entropy continuity, and hyperbolic systems.
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22 Lesons
1 hour 23 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Heights on Character Varieties, Free Subgroups and Spectral Gaps by Emmanuel Breuillard

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Explore heights on character varieties, free subgroups, and spectral gaps in this advanced mathematics lecture, delving into Zariski dense subgroups and their applications in geometry and number theory.
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1 Lesons
1 hour 21 minutes
On-Demand
Free-Video
Institute for Advanced Study

Spectral Gap of the Laplacian for Random Hyperbolic Surfaces

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Explore spectral gap of Laplacian for random hyperbolic surfaces in large genus limit. Delve into Weil-Petersson measure, Mirzakhani's work, and trace method applications.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Institut Henri Poincaré

On the Spectral Gap of the Laplacian for Random Hyperbolic Surfaces

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Explorez le comportement spectral du laplacien sur des surfaces hyperboliques aléatoires, en mettant l'accent sur l'écart spectral dans la limite des grands genres.
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1 Lesons
59 minutes
On-Demand
Free-Video
NCCR SwissMAP

Geodesic Levy Flight and Foraging Hypothesis - Analytic Techniques in Dynamics and Geometry

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Explore analytic techniques in dynamics and geometry, focusing on geodesic Levy flight and the foraging hypothesis. Gain insights into Brownian motion and geometric operators.
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13 Lesons
51 minutes
On-Demand
Free-Video
Institute for Advanced Study

Spectral Gap of the Laplacian for Random Hyperbolic Surfaces - Part 2

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Explore spectral gap of Laplacian for random hyperbolic surfaces using trace method and asymptotic expansions in large genus limit. Analyze Weil-Petersson measure and Friedman-Ramanujan property.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Banach Center

Spectral Gaps vs the Baum-Connes Conjecture

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Explore the relationship between spectral gaps and the Baum-Connes conjecture in mathematics, delving into advanced concepts in functional analysis and topology.
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1 Lesons
42 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Towards an Optimal Spectral Gap Result for Random Compact Hyperbolic Surfaces

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Explore recent progress in proving near-optimal spectral gaps for hyperbolic surfaces. Delve into trace methods, challenges, and new tools developed to improve bounds in spectral geometry.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
International Mathematical Union

Thermodynamic Formalism for Dispersing Billiards

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Explores mathematical billiards in statistical mechanics, focusing on dispersing billiards. Discusses equilibrium states, geometric potentials, and spectral analysis, with insights into SRB measures and maximal entropy.
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1 Lesons
48 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Spectral Gaps of Random Covers of Hyperbolic Surfaces

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Explore spectral gaps in random hyperbolic surfaces, including Laplacian resonances and a probabilistic version of Selberg's 3/16 theorem, using transfer operators and zeta functions.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Spectral Gap Estimates for the Random Field Ising Model - Lecture

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Spectral gap estimates for random field Ising model: convergence rates, Glauber dynamics, Griffiths phase. Combines stochastic localization and percolation-theoretic coarse-graining techniques.
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1 Lesons
44 minutes
On-Demand
Free-Video
Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC)

Metaplex Networks: Influence of Exo-Endo Structure on Diffusion in Complex Systems

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Explore super diffusion in complex systems, focusing on metaplex networks and their impact on diffusion processes through fractional modeling and real-world examples.
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25 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Thermalization of Quantum Memories - A Tensor Networks Approach

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Explore thermalization of quantum memories using tensor networks, focusing on 2D Kitaev's quantum double models and their Gibbs state representation as PEPS.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video