72 citations · 176 across the 13 of their papers we have counts for
13 papers
Optimizing the Network Topology of a Linear Reservoir Computer
Sahand Tangerami, Nicholas A. Mecholsky, Francesco Sorrentino
Machine learning has become a fundamental approach for modeling, prediction, and control, enabling systems to learn from data and perform complex tasks. Reservoir computing is a ma…
Modeling Energy- and Momentum-dependent Scattering Relaxation Times in a Semi-Classical Model of Charge Transport using the Self-Scattering Technique
H. A. McDonough, Nicholas A. Mecholsky
Improvement of numerical methods for calculating charge transport quantities of materials from the Boltzmann transport equation (BTE) is important for prediction of material proper…
Reservoir Computing with Noise
Chad Nathe, Chandra Pappu, Nicholas A. Mecholsky +3
This paper investigates in detail the effects of noise on the performance of reservoir computing. We focus on an application in which reservoir computers are used to learn the rela…
Geodesy on surfaces of revolution: A wormhole application
Lorenzo Gallerani Resca, Nicholas A. Mecholsky
We outline a general procedure to derive first-order differential equations obeyed by geodesic orbits over two-dimensional (2D) surfaces of revolution immersed or embedded in ordin…
Curved Space, curved Time, and curved Space-Time in Schwarzschild geodetic geometry
Rafael T. Eufrasio, Nicholas A. Mecholsky, Lorenzo Resca
We investigate geodesic orbits and manifolds for metrics associated with Schwarzschild geometry, considering space and time curvatures separately. For `a-temporal' space, we solve…
Analytic formula for the Geometric Phase of an Asymmetric Top
Nicholas A. Mecholsky
The motion of a handle spinning in space has an odd behavior. It seems to unexpectedly flip back and forth in a periodic manner as seen in a popular YouTube video. As an asymmetric…
Kaon transverse charge density from space- and timelike data
N. A. Mecholsky, J. Meija-Ott, M. Carmignotto +3
We used the world data on the kaon form factor to extract the transverse kaon charge density using a dispersion integral of the imaginary part of the kaon form factor in the timeli…
Band warping, band non-parabolicity and Dirac points in fundamental lattice and electronic structures
Lorenzo Resca, Nicholas A. Mecholsky, Ian L. Pegg
We demonstrate from a fundamental perspective the physical and mathematical origins of band warping and band non-parabolicity in electronic and vibrational structures. Remarkably,…
Density of States for Warped Energy Bands
Nicholas A. Mecholsky, Lorenzo Resca, Ian L. Pegg +1
An angular effective mass formalism previously introduced is used to study the density of states in warped and non-warped energy bands. Band warping may or may not increase the den…
Theory of Band Warping and its Effects on Thermoelectronic Transport Properties
Nicholas A. Mecholsky, Lorenzo Resca, Ian L. Pegg +1
Optical and transport properties of materials depend heavily upon features of electronic band structures in proximity to energy extrema in the Brillouin zone (BZ). Such features ar…
Continuum modeling of the equilibrium and stability of animal flocks
Nicholas A. Mecholsky, Edward Ott, Thomas M. Antonsen +1
Groups of animals often tend to arrange themselves in flocks that have characteristic spatial attributes and temporal dynamics. Using a dynamic continuum model for a flock of indiv…
Stability of strategies in payoff-driven evolutionary games on networks
Francesco Sorrentino, Nicholas Mecholsky
We consider a network of coupled agents playing the Prisoner's Dilemma game, in which players are allowed to pick a strategy in the interval [0,1], with 0 corresponding to defectio…
Obstacle and predator avoidance by a flock
Nicholas A. Mecholsky, Edward Ott, Thomas M. Antonsen
The modeling and investigation of the dynamics and configurations of animal groups is a subject of growing attention. In this paper, we present a continuum model of flocking and us…