Theorems regarding stochastic processes
In mathematics, the Kolmogorov extension theorem (also known as Kolmogorov existence theorem, the Kolmogorov consistency theorem or the Daniell-Kolmogorov theorem) is a theorem that guarantees that a suitably "consistent" collection of finite-dimensional distributions will define a stochastic process. It is credited to the English mathematician Percy John Daniell and the Russian mathematician Andrey Nikolaevich Kolmogorov. (Wikipedia).
Kolmogorov Complexity - Applied Cryptography
This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
From playlist Applied Cryptography
Kolmogorov Complexity Solution - Applied Cryptography
This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
From playlist Applied Cryptography
Unpredictability - Applied Cryptography
This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
From playlist Applied Cryptography
FIT2.3.3. Algebraic Extensions
Field Theory: We define an algebraic extension of a field F and show that successive algebraic extensions are also algebraic. This gives a useful criterion for checking algberaic elements. We finish with algebraic closures.
From playlist Abstract Algebra
Maxim Konsevitch - 3/4 Exponential Integral
Summary : https://indico.math.cnrs.fr/getFile.py/access?resId=0&materialId=3&confId=694 The goal of the first part of the course is to describe and compare various cohomology theories for algebraic varieties endowed with global function. In the second part infinite-dimensional application
From playlist Maxim Konsevitch - Exponential Integral
Maxim Konsevitch - 1/4 Exponential Integral
Summary : https://indico.math.cnrs.fr/getFile.py/access?resId=0&materialId=3&confId=694 The goal of the first part of the course is to describe and compare various cohomology theories for algebraic varieties endowed with global function. In the second part infinite-dimensional application
From playlist Maxim Konsevitch - Exponential Integral
Field Theory: Let F be a subfield of the field K. We consider K as a vector space over F and define the degree of K over F as the dimension. We give a degree formula for successive extensions, and consider extensions in terms of bases. EDIT: Typo - around 3:15, it should be cube root(2
From playlist Abstract Algebra
Status of experiments and simulations on scaling problems in turbulence - Katepalli Sreenivasan
Workshop on Turbulence Topic: Status of experiments and simulations on scaling problems in turbulence Speaker: Katepalli Sreenivasan Affiliation: New York University Date: December 11, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
From the d’Alembert Paradox to the 1984 Kato Criteria via the 1941 1/3.... by Claude Bardos
Program Turbulence: Problems at the Interface of Mathematics and Physics (ONLINE) ORGANIZERS: Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (Indian Institute of Science, Bengaluru) DATE: 07 December 202
From playlist Turbulence: Problems at The Interface of Mathematics and Physics (Online)
Gregory Margulis: Kolmogorov-Sinai entropy and homogeneous dynamics
Abstract: Homogeneous dynamics is another name for flows on homogeneous spaces. It was realized during last the 30–40 years that such dynamics have many applications to certain problems in number theory and Diophantine approximation. In my talk I will describe some of these applications a
From playlist Gregory Margulis
Eckhard Meinrenken: Differential Geometry of Weightings
Talk by Eckhard Meinrenken in Global Noncommutative Geometry Seminar (Americas) https://globalncgseminar.org/talks/differential_geometry_of_weightings/ on February 19, 2021.
From playlist Global Noncommutative Geometry Seminar (Americas)
Statistical Properties of the Navier-Stokes-Voigt Model by Edriss S. Titi
Program Turbulence: Problems at the Interface of Mathematics and Physics (ONLINE) ORGANIZERS: Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (Indian Institute of Science, Bengaluru) DATE: 07 December 202
From playlist Turbulence: Problems at The Interface of Mathematics and Physics (Online)
Stochastic Model Reduction in Climate Science by Georg Gottwald (Part 5)
ORGANIZERS: Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATES: Monday 23 May, 2016 - Saturday 23 Jul, 2016 VENUE: Madhava Lecture Hall, ICTS, Bangalore This program is first-of-its-kind in India with a specific focus to p
From playlist Summer Research Program on Dynamics of Complex Systems
Nexus Trimester - Andrei Romashchenko (LIRMM)
On Parallels Between Shannon’s and Kolmogorov’s Information Theories (where the parallelism fails and why) Andrei Romashchenko (LIRMM) February 02, 2016 Abstract: Two versions of information theory - the theory of Shannon's entropy and the theory of Kolmgorov complexity - have manifest
From playlist Nexus Trimester - 2016 - Distributed Computation and Communication Theme
The Assumption of NORMALITY in Parametric Hypothesis Tests (16-6)
Parametric statistical tests require normality, which does not mean what many people think it means. I explain the true meaning of the assumption of normality, using Stats Blocks, and how to test this assumption with graphs or tests, such as Kolmogorov-Smirnov Test. The Central Limit Theor
From playlist Assumptions, Significance, & Effect Size Wrap-Up (WK 16 - QBA 237)
Bourbaki - 16/01/2016 - 1/4 - Damien GABORIAU
Damien GABORIAU — Entropie sofique [d'après L. Bowen, D. Kerr et H. Li] L’entropie fut introduite en systèmes dynamiques par A. Kolmogorov. Initialement focalisée sur les itérations d’une transformation préservant une mesure finie, la notion fut peu à peu généralisée, jusqu’à embrasser l
From playlist Bourbaki - 16 janvier 2016
Galois theory: Kummer extensions
This lecture is part of an online graduate course on Galois theory. We describe Galois extensions with cyclic Galois group of order n in the case when the base field contains all n'th roots of unity and has characteristic not dividing n. We show that all such extensions are radical. As an
From playlist Galois theory
Introduction to additive combinatorics lecture 5.8 --- Freiman homomorphisms and isomorphisms.
The notion of a Freiman homomorphism and the closely related notion of a Freiman isomorphism are fundamental concepts in additive combinatorics. Here I explain what they are and prove a lemma that states that a subset A of F_p^N such that kA - kA is not too large is "k-isomorphic" to a sub
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
Nicola Garofalo: Hypoelliptic operators and analysis on Carnot-Carathéodory spaces
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 Algebraic and Complex Geometry