Maxim Kontsevich - An Update on Algebraic Hypergeometric Series
Algebraic hypergeometric series in one variable were classified in 1989 by F. Beukers and G. Heckman, in terms of finite complex reflection groups. Recently, K. Penson observed that one of such series is a generating series of a probability density with compact support, given again by an a
From playlist Combinatorics and Arithmetic for Physics: special days
Characteristic Polynomials of the Hermitian Wigner and Sample Covariance Matrices - Shcherbina
Tatyana Shcherbina Institute for Low Temperature Physics, Kharkov November 1, 2011 We consider asymptotics of the correlation functions of characteristic polynomials of the hermitian Wigner matrices Hn=n−1/2WnHn=n−1/2Wn and the hermitian sample covariance matrices Xn=n−1A∗m,nAm,nXn=n−1Am,n
From playlist Mathematics
Maxim Kazarian - 1/3 Mathematical Physics of Hurwitz numbers
Hurwitz numbers enumerate ramified coverings of a sphere. Equivalently, they can be expressed in terms of combinatorics of the symmetric group; they enumerate factorizations of permutations as products of transpositions. It turns out that these numbers obey a huge num
From playlist Physique mathématique des nombres de Hurwitz pour débutants
Maxim Kazarian - 2/3 Mathematical Physics of Hurwitz numbers
Hurwitz numbers enumerate ramified coverings of a sphere. Equivalently, they can be expressed in terms of combinatorics of the symmetric group; they enumerate factorizations of permutations as products of transpositions. It turns out that these numbers obey a huge num
From playlist Physique mathématique des nombres de Hurwitz pour débutants
Tomasz Tkocz: Khinchin inequalities with sharp constants
I shall survey some classical results and present some recent results on sharp moment comparison inequalities for weighted sums of i.i.d. random variables, a.k.a. Khinchin inequalities.
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
12: Spectral Analysis Part 2 - Intro to Neural Computation
MIT 9.40 Introduction to Neural Computation, Spring 2018 Instructor: Michale Fee View the complete course: https://ocw.mit.edu/9-40S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61I4aI5T6OaFfRK2gihjiMm Covers Fourier transform pairs and power spectra, spectral esti
From playlist MIT 9.40 Introduction to Neural Computation, Spring 2018
Which of these number sequences do you like best? Vote at http://bit.ly/IntegestVote The extra bit of footage is at: http://youtu.be/p-p7ozCnjfU More links & stuff in full description below ↓↓↓ This video features Tony Padilla from the University of Nottingham: https://twitter.com/DrTonyP
From playlist Tony Padilla on Numberphile
Dimitris Koukoulopoulos: Approximating reals by rationals
Abstract: Given any irrational number α, Dirichlet proved that there are infinitely many reduced fractions a/q such that |α − a/q| ≤ 1/q^2. A natural question that arises is whether the fractions a/q can get even closer to α. For certain ”quadratic irrationals” such as α = √2 the answer is
From playlist Number Theory Down Under 9
EXTRA MATH Lec 6B: Maximum likelihood estimation for the binomial model
Forelæsning med Per B. Brockhoff. Kapitler:
From playlist DTU: Introduction to Statistics | CosmoLearning.org
Alexander Pushnitski : Rational approximation of functions with logarithmic singularities
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Analysis and its Applications
Uncertainty modeling, Maximum Entropy principles and Power law by Karmeshu Kar
Modern Finance and Macroeconomics: A Multidisciplinary Approach URL: http://www.icts.res.in/program/memf2015 DESCRIPTION: The financial meltdown of 2008 in the US stock markets and the subsequent protracted recession in the Western economies have accentuated the need to understand the dy
From playlist Modern Finance and Macroeconomics: A Multidisciplinary Approach
Intrinsic Diophantine approximation (Lecture 3) by Amos Nevo
PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.
From playlist Smooth And Homogeneous Dynamics
Khintchine-type theorems for values of homogeneous.... (Lecture 1) by Dmitry Kleinbock
PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.
From playlist Smooth And Homogeneous Dynamics
Maxim Kazarian - 3/3 Mathematical Physics of Hurwitz numbers
Hurwitz numbers enumerate ramified coverings of a sphere. Equivalently, they can be expressed in terms of combinatorics of the symmetric group; they enumerate factorizations of permutations as products of transpositions. It turns out that these numbers obey a huge num
From playlist Physique mathématique des nombres de Hurwitz pour débutants
13. Little, M/G/1, Ensemble Averages
MIT 6.262 Discrete Stochastic Processes, Spring 2011 View the complete course: http://ocw.mit.edu/6-262S11 Instructor: Robert Gallager License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.262 Discrete Stochastic Processes, Spring 2011
Gilles Pisier : On the non-commutative Khintchine inequalities
Abstract: This is joint work with Éric Ricard. We give a proof of the Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the
From playlist Analysis and its Applications
Sergei Konyagin: On sum sets of sets having small product set
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Combinatorics
Topics in Combinatorics lecture 13.8 --- The slice rank of a diagonal 3-tensor
A result that has played a central role in additive combinatorics is the statement that for every positive c there exists n such that every subset of F_3^n of density at least c contains three distinct vectors x, y and z such that x + y + z = 0. For a long time, a major open problem was to
From playlist Topics in Combinatorics (Cambridge Part III course)
Alisa Knizel: Log-gases on a quadratic lattice via discrete loop equations
We study a general class of log-gas ensembles on a quadratic lattice. Using a variational principle we prove that the corresponding empirical measures satisfy a law of large numbers and that their global fluctuations are Gaussian with a universal covariance. We apply our general results to
From playlist Jean-Morlet Chair - Grava/Bufetov
Alexander Gorodnik - Diophantine approximation and flows on homogeneous spaces (Part 3)
The fundamental problem in the theory of Diophantine approximation is to understand how well points in the Euclidean space can be approximated by rational vectors with given bounds on denominators. It turns out that Diophantine properties of points can be encoded using flows on homogeneous
From playlist École d’été 2013 - Théorie des nombres et dynamique