Aditya Makkar
Brownian motion in 2D
Otium

I write here mostly for my own edification.

Equilibria in Static Games

A discussion of equilibria in static game settings for non-cooperative game theory.

Baire Spaces

An expository note on Baire spaces.

Markov Decision Processes

A rigorous introduction to Markov decision processes.

General Theory of Processes - Part 2

Applications of Choquet's theory of capacities to the general theory of processes.

General Theory of Processes - Part 1

Choquet's theory of capacities and its applications in measure theory.

A Note On Conditional Probability

Some intuition behind this concept.

Longest Increasing Subsequence

A probabilistic analysis of the length of the longest increasing subsequences.

A Coin Tossing Game

A discussion of a counter-intuitive game played with coin tosses.

Kernels - Part 2

A discussion of Random Fourier Features.

Zorn's Lemma

Examples on how to use Zorn's lemma.

Kernels - Part 1

Some results in Reproducing Kernel Hilbert Spaces.

Kernels - Part 0

Functional analysis background for kernel theory.

Partitions and Equivalence Relations

I show how these two concepts are a single mathematical idea.

Upper and Lower Limits

A reference for a useful concept.