50 citations · 70 across the 7 of their papers we have counts for
8 papers
Second order quantitative bounds for unadjusted generalized Hamiltonian Monte Carlo
Evan Camrud, Alain Durmus, Pierre Monmarché +1
This paper provides a convergence analysis for generalized Hamiltonian Monte Carlo samplers, a family of Markov Chain Monte Carlo methods based on leapfrog integration of Hamiltoni…
Weighted -contractivity of Langevin dynamics with singular potentials
Evan Camrud, David P. Herzog, Gabriel Stoltz +1
Convergence to equilibrium of underdamped Langevin dynamics is studied under general assumptions on the potential allowing for singularities. By modifying the direct approach t…
Almost-nowhere intersection of Cantor sets, and sufficient sampling of their cumulative distribution functions
Allison Byars, Evan Camrud, Steven N. Harding +3
Cantor sets are constructed from iteratively removing sections of intervals. This process yields a cumulative distribution function (CDF), constructed from the invariant measure as…
Fractional operators via analytic interpolation of integer powers
Evan Camrud
Although the study of functional calculus has already established necessary and sufficient conditions for operators to be fractionalized, this paper aims to use our well-conceived…
Stability of the Kaczmarz Reconstruction for Stationary Sequences
Caleb Camrud, Evan Camrud, Lee Przybylski +1
The Kaczmarz algorithm is an iterative method to reconstruct an unknown vector from inner products . We consider the problem of how additive noise a…
On the nature of the conformable derivative and its applications to physics
Douglas R. Anderson, Evan Camrud, Darin J. Ulness
The purpose of this work is to show that the Khalil and Katagampoula conformable derivatives are equivalent to the simple change of variables where $α…
Applications of a distributional fractional derivative to Fourier analysis and its related differential equations
Evan Camrud
A new definition of a fractional derivative has recently been developed, making use of a fractional Dirac delta function as its integral kernel. This derivative allows for the defi…
A novel approach to fractional calculus: utilizing fractional integrals and derivatives of the Dirac delta function
Evan Camrud
While the definition of a fractional integral may be codified by Riemann and Liouville, an agreed-upon fractional derivative has eluded discovery for many years. This is likely a r…