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Basketball Mathematics NBA Statistics

When is it optimal to shoot a 3-Point Shot

A very interesting result: computing payoffs of players, the following is a diagram that shows when it is optimal for a player to shoot a 2 point or a 3-point shot. One sees that it is hardly ever optimal for a player to shoot a 3-point shot, since the region corresponding to 3-point optimality is […]

Categories
Game theory General Relativity Mathematics Physics

Lectures on Nonlinear Dynamical Systems 

Here is a link to my lectures on nonlinear dynamical systems given at York University during the Winter semester of 2017.  These lectures start off with manifold theory, and end with examples in biology, game theory, and general relativity/cosmology. 

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Basketball Chicago Bulls Data Analytics Data Science Mathematics NBA NBA Finals Sports Statistics

What if Michael Jordan Played in Today’s NBA?

By: Dr. Ikjyot Singh Kohli It seems that one cannot turn on ESPN or any YouTube channel nowadays without the ongoing debate of whether Michael Jordan is better than Lebron, what would happen if Michael Jordan played in today’s NBA, etc… However, I have not seen a single scientific approach to this question. Albeit, it […]

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Basketball Data Analytics Data Science Mathematics NBA NBA Finals NBA Playoffs Sports Statistics

How to Beat the Golden State Warriors

By: Dr. Ikjyot Singh Kohli The Golden State Warriors have posed quite the conundrum for opposing teams. They are quick, have a spectacular ability to move the ball, and play suffocating defense. Given their play in the playoffs thus far, all of these points have been exemplified even more to the point where it seems […]

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Biology education Finance Game theory Mathematics Politics

New publication: Game Theory and Dynamical Systems

Our new paper examining the dynamics of an asymmetric Hawk-Dove game was published in The International Journal of Differential Equations: 

Categories
Cosmology General Relativity Mathematics Physics Science

Dynamical Systems in Cosmology Lectures

In the final two lectures of my differential equations class , I discussed how Dynamical Systems theory can be used to understand and describe the dynamics of cosmological solutions to Einstein’s field equations. Videos and lecture notes posted below: Lecture Notes:

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Basketball Data Analytics Data Science Mathematics NBA NBA Playoffs Sports Statistics

The “Interference” of Phil Jackson

By: Dr. Ikjyot Singh Kohli So, I came across this article today by Matt Moore on CBSSports, who basically once again has taken to the web to bash the Triangle Offense. Of course, much of what he claims (like much of the Knicks media) is flat-out wrong based on very primitive and simplistic analysis, and […]

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Basketball Mathematics NBA NBA Finals NBA Playoffs Sports Statistics

Mathematics Behind The Triangle Offense

It was pointed out to me recently that a few of the articles I have written describing the detailed geometric structure behind the triangle offense is scattered in various places around my blog, so here is a list of the articles in one convenient place:  The Mathematics of Filling the Triangle (First article)  Group Theory and […]

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Basketball Data Science Mathematics NBA NBA Playoffs Uncategorized

So, What’s Wrong with the Knicks?

By: Dr. Ikjyot Singh Kohli As I write this post, the Knicks are currently 12th in the Eastern conference with a record of 22-32. A plethora of people are offering the opinions on what is wrong with the Knicks, and of course, most of it being from ESPN and the New York media, most of […]

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Basketball Data Analytics Data Science Mathematics NBA NBA Finals NBA Playoffs Sports Statistics

Basketball Machine Learning Paper Updated 

I have now made a significant update to my applied machine learning paper on predicting patterns among NBA playoff and championship teams, which can be accessed here: arXiv Link .