Aditya Makkar
Brownian motion in 2D
Otium

I write here mostly for my own edification.

Equilibria in Static Games
(2024/11/21) A discussion of equilibria in static game settings for non-cooperative game theory.
Baire Spaces
(2022/10/31) An expository note on Baire spaces.
Markov Decision Processes
(2022/07/28) A rigorous introduction to Markov decision processes.
General Theory of Processes - Part 2
(2021/05/15) Applications of Choquet's theory of capacities to the general theory of processes.
General Theory of Processes - Part 1
(2021/04/13) Choquet's theory of capacities and its applications in measure theory.
A Note On Conditional Probability
(2021/02/05) Some intuition behind this concept.
Longest Increasing Subsequence
(2020/12/25) A probabilistic analysis of the length of the longest increasing subsequences.
A Coin Tossing Game
(2020/10/11) A discussion of a counter-intuitive game played with coin tosses.
Kernels - Part 2
(2020/09/07) A discussion of Random Fourier Features.
Zorn's Lemma
(2020/08/07) Examples on how to use Zorn's lemma.
Kernels - Part 1
(2020/07/16) Some results in Reproducing Kernel Hilbert Spaces.
Kernels - Part 0
(2020/07/03) Functional analysis background for kernel theory.
Partitions and Equivalence Relations
(2020/06/20) I show how these two concepts are a single mathematical idea.
Upper and Lower Limits
(2020/06/17) A reference for a useful concept.