11 citations · 46 across the 22 of their papers we have counts for
22 papers
The Wavefunction of Continuous-Time Recurrent Neural Networks
Ikjyot Singh Kohli, Michael C. Haslam
In this paper, we explore the possibility of deriving a quantum wavefunction for continuous-time recurrent neural network (CTRNN). We did this by first starting with a two-dimensio…
Einstein's Field Equations as Continuous-Time Recurrent Neural Networks
Ikjyot Singh Kohli
We examine a subset of spatially homogenous and anisotropic solutions to Einstein's field equations: the Bianchi Type A models, and show that they can be written as a continuous-ti…
On an Optimal Solution to the Film Scheduling and Showtime Staggering Problem
Ikjyot Singh Kohli, Katherine Goff Inglis
The scheduling of films is a major problem for the movie theatre exhibition business. The problem is two-fold: movie exhibitors ideally would like to schedule films to screens in t…
Oscillating Towards the de Sitter Universe
Ikjyot Singh Kohli
In this paper, we consider spatially flat FLRW cosmological models in two contexts in an attempt to derive a set of conditions that characterize when such models exhibit oscillator…
Dynamics of a Bianchi Type I Model With a Concave Potential
Ikjyot Singh Kohli, Michael C. Haslam
In this paper, we study the dynamics of a Bianchi Type I potential in the presence of a concave potential of the form , where $V…
Dynamics of a Vacuum Bianchi Type V Universe with an Arbitrary Cosmological Constant
Ikjyot Singh Kohli
In this paper, we describe the dynamics of a Bianchi Type V vacuum universe with an arbitrary cosmological constant. We begin by using an orthonormal frame approach to write Einste…
Einstein's Field Equations as a Fold Bifurcation
Ikjyot Singh Kohli, Michael C. Haslam
It is shown that Einstein's field equations for \emph{all} perfect-fluid FLRW cosmologies have the same form as the topological normal form of a fold bifurcation. In particul…
An Analysis of the Replicator Dynamics for an Asymmetric Hawk-Dove Game
Ikjyot Singh Kohli, Michael C. Haslam
We analyze, using a dynamical systems approach, the replicator dynamics for the asymmetric Hawk-Dove game in which there is a set of four pure strategies with arbitrary payoffs. We…
A Degenerate Bogdanov-Takens Normal Form for FLRW Cosmologies
Ikjyot Singh Kohli, Michael C. Haslam
In this paper, we first show that the Einstein field equations for all perfect-fluid FLRW cosmologies can be written as a planar dynamical system with the equation of state paramet…
Finding Common Characteristics Among NBA Playoff and Championship Teams: A Machine Learning Approach
Ikjyot Singh Kohli
In this paper, we employ machine learning techniques to analyze seventeen seasons (1999-2000 to 2015-2016) of NBA regular season data from every team to determine the common charac…
On Past Singularities in FLRW Cosmologies
Ikjyot Singh Kohli
The fundamental singularity theorem of FLRW cosmologies assumes that the matter content in the cosmological model obeys the strong energy condition along with a nonpositive cosmolo…
Stochastic Eternal Inflation in a Bianchi Type I Universe
Ikjyot Singh Kohli, Michael C. Haslam
The phenomenon of stochastic eternal inflation is studied for a chaotic inflation potential in a Bianchi Type I spacetime background. After deriving the appropriate stochastic Klei…
The Osgood Criterion and Finite-Time Cosmological Singularities
Ikjyot Singh Kohli
In this paper, we apply Osgood's criterion from the theory of ordinary differential equations to detect finite-time singularities in a spatially flat FLRW universe in the context o…
On Optimal Offensive Strategies in Basketball
Ikjyot Singh Kohli
The purpose of this paper is to determine whether basketball teams who choose to employ an offensive strategy that involves predominantly shooting three point shots is stable and o…
On Singularities in Cosmic Inflation
Ikjyot Singh Kohli
In this paper, we examine a flat FLRW spacetime with a scalar field potential and show by applying Osgood's criterion to the Einstein field equations that all such models, irrespec…
Mathematical Issues in Eternal Inflation
Ikjyot Singh Kohli, Michael C. Haslam
In this paper, we consider the problem of existence and uniqueness of solutions to the Einstein field equations for a spatially flat FLRW universe in the context of stochastic eter…
Comments On: A Universe From Nothing
Ikjyot Singh Kohli
We study some claims in Krauss' recent book, \emph{A Universe from Nothing: Why there is something rather than nothing}, that are employed to show that a universe can come from "no…
On The Dynamics of a Closed Viscous Universe
Ikjyot Singh Kohli, Michael C. Haslam
We use a dynamical systems approach based on the method of orthonormal frames to study the dynamics of a non-tilted Bianchi Type IX cosmological model with a bulk and shear viscous…
A Dynamical Systems Approach to a Bianchi Type I Viscous Magnetohydrodynamic Model
Ikjyot Singh Kohli, Michael C. Haslam
We use the expansion-normalized variables approach to study the dynamics of a non-tilted Bianchi Type I cosmological model with both a homogeneous magnetic field and a viscous flui…
The Future Asymptotic Behaviour of a Non-Tilted Bianchi Type IV Viscous Model
Ikjyot Singh Kohli, Michael C. Haslam
The future asymptotic behaviour of a non-titled Bianchi Type IV viscous fluid model is analyzed. In particular, we consider the case of a viscous fluid without heat conduction, and…
A Bianchi Type IV Viscous Fluid Model of The Early Universe
Ikjyot Singh Kohli
We are interested in formulating a viscous model of the universe based on The Bianchi Type IV algebra. We first begin by considering a congruence of fluid lines in spacetime, upon…
Quantum Wavefunction for a Schwarzschild Black Hole
Ikjyot Singh Kohli
A pseudo-Riemannian manifold contains an inherent Hamiltonian structure within the symplectic manifold in the cotangent bundle corresponding to the metric. Using this structure, it…