Preprint Archives

2026

Paper Number	Title	Author
1	Dimension reduction of conditional quantiles for functional data with its extension	Shanshan Wang
2	Some Results in the Spectral Theory of the Schrödinger Type Operators on the Quantum Lattice 𝚪d for d≥2	Zackery Zane Clark

2025

Paper Number	Title	Author
1	Tempered stable distributions and high frequency financial modeling	Sina Saba
2	On the dynamics of actions on compact metrizable spaces	Jade Raymond
3	Stratified semiparametric regression analysis ofpartly interval censored failure time data with missing and mis-measured longitudinal covariates	Gang Cheng
4	Statistical methods for the deconvolution of bulk tissue RNA sequencing data	Su Xu
5	Invisibility and Inverse Problems: Theoretical and Computational Approaches	Ray Gabriel Abney Fiallos
6	On dimension reduction for vector autoregressive (VAR(P)) models via spatial quantile regression	Yijiang Wang
7	Stationary optimal transport plans and the thermodynamic formalism	Shengwen Guo
8	Varying-coefficient stochastic diffusion processes with deep learning	Zihui Wang
9	Refitted Dimension-reduced tests for Cox’s models based on regularization	Bo Tang
10	Parking trees and the toric g-vector of nestohedra	Richard Ehrenborg, Gabor Hetyei and Margaret Readdy
11	Discrete spectrum in gaps of the continuous spectrum for finite difference operators on the lattice and the graphene operator	Siyu Gao

2024

Paper Number	Title	Author
1	Multivariate Dickman distribution and its applications	Xingnan Zhang
2	Coloring graphs with intervals for parallel computing	Dante Durrman
3	Subsystem if Shifts of Finite Type Over Countable Amenable Groups	Robert Bland
4	Dynamics of the Shift Action on Linear Sequence Spaces Over Groups Beyond Z	Sergei L. Miles
5	Design and Analysis for Two-Phase Studies with Survival Data	Xu Cao
6	Estimation and Interference for Dynamic Intensity Models for Recurrent Event Data with Applications To a Malaria Trial	Jing Xu
7	Multiscale Modeling for Crystalline Materials: A Comprehensive Study in Statics and Dynamics	Elaine Gorom-Alexander
8	New Version of Optimal Stopping Problem	Wai-Lun Lam
9	On Reduced Unicellular Hypermonopoles	Robert Cori and Gabor Hetyei
10	Monotonicity of the set of zeros of the Lyapunov exponent with respect to shift embeddings	Oleg Safronov
11	On the structure of the d-indivisible noncrossing partition posets	Richard Ehrenborg and Gabor Hetyei
12	Discrete maximum principle preserving scheme for 1-d nonlocal to local diffusion problem: development, analysis, simulation, and application	Amanda Gute

2023

Paper Number	Title	Author
1	Globally convergent numerical methods for several inverse problems based on Carleman estimates	Thi Thu Thuy Le
2	Statistical inference of semiparametric Cox-Aalen transformation models with failure time data	Xi Ning
3	Spectral theory of Schrödinger type operator on spider graphs	Madhumita Paul
4	Catalan-Spitzer permutations	Richard Ehrenborg, Gabor Hetyei and Margaret Readdy
5	On the infinite divisibility and non infinite divisibility of certain classes of random variables	George M. Stukes
6	Labeling regions in deformations of graphical arrangements	Gabor Hetyei

2022

Paper Number	Title	Author
1	Estimation and Simulation for Multivariate Tempered Stable Distributions with Applications To Finance	Yunfei Xia
2	The general non-stationary Anderson Parabolic Model with correlated white noise	Xiaoyun Chen
3	Writhe-like Invariants of Alternating Links	Van Anh Pham
4	Average genus of oriented rational links	Dawn Ray
5	Asymptotic Normality of Higher Order Turing Formulae	Jie Chang

2021

Paper Number	Title	Author
1	Semiparametric additive hazards models with missing covariates	Pramesh Subedi
2	Absolutely continuous spectrum of a typical Schrodinger operator with an operator valued potential	Ari Laptev and Oleg Safronov
3	Spanning hypertrees, vertex tours and meanders	Robert Cori and Gabor Hetyei
4	Multivariate Functional Predictor Selection	Ali Mahzarnia
5	Distance based linear regression model and its application to microbiome association studies	Masoumeh Sheikhi Kiasri

2020

Paper Number	Title	Author
1	Quantum resistant Reed-Muller codes on McEliece cryptosystem	Jasmine Elder
2	A real-analytic proof of the Simon-Wolff theorem	Alexander Y. Gordon and Oleg Safronov
3	Independent screening for nonparametric additive Cox model	Sha Yu
4	The semiparametric mark-specific proportional hazards model for multivariate marks via a single-index	Yuehan Shao
5	Local spatial quantile estimation of multivariate functional-coefficient regression models	Yetong Zhou
6	Diffusion processes on solvable groups of upper triangular 3×3 matrices. Applications in Asian and basket options	Julia Simonsen
7	A Dynamic Approach to Optimizing Interventions and Mitigating Contagion Impacts in Financial Networks	Christopher Farthing
8	Probabilistic Numerical Integration with Applications in Machine Learning	Kelly Hirschbeck Smalenberger

2019

Paper Number	Title	Author
1	Population Dynamics with Immigration	Dan Han
2	Schwarz methods for fourth-order problems containing singularities	Birce Palta
3	On the discrete spectrum of exterior elliptic problems	Rajan Puri
4	On the spectral theory of 1-D Schrodinger Operator with sparse random potentials	Thomas A. Cook
5	Estimation of semi-varying coefficient models for counting process with applications	Liqiu Deng
6	Jensen-Shannon Divergence: Estimation and Hypothesis Testing	Ann Marie Stewart
7	Inverse source problems for elliptic and parabolic equations	Qitong Li
8	Dynamic modeling of incomplete event history data	Fei Heng
9	Non-parametric estimation of information-theoretic quantities in entropic perspective	Jialin Zhang
10	Statistical estimation and inference for the associations of multivariate recurrent event processes	Peilin Chen
11	Optimal strategies in “Locks, Bombs, and Testing” (LBT) problem for the case of independent protection	Li Liu
12	Goodness-of-fit tests under permutations	Chen Chen
13	Invariants of rational links represented by reduced alternating diagrams	Yuanan Diao, Claus Ernst and Gabor Hetyei
14	Unifying estimation of varying-coefficient models	Weitong Yin
15	Isomorphism in Wavelets II	Xingde Dai, Wei Huang and Zhongyan Li
16	The type B permutohedron and the poset of intervals as a Tchebyshev transform	Gabor Hetyei
17	A Diagrammatic Approach for Determining the Braid Index of Alternating Links	Yuanan Diao, Claus Ernst, Gabor Hetyei and Pengyu Liu
18	Braid Index Bounds Ropelength From Below	Yuanan Diao
19	The braid index of DNA double crossover polyhedral links	Xiao-Sheng Cheng and Yuanan Diao
20

2018

Paper Number	Title	Author
1	Option Valuation Under A Regime-Switching Model Using the Fast Fourier Transform	Elham Sohrabi
2	Interval Estimation for Semiparametric Predictive Regression	Shaoxin Hong
3	Estimates For the Number of Eigenvalues of Non-self-adjoint Operators	Artem Hulko
4	Improving Semiparametric Estimation of Longitudinal Data with Covariance Function	Fang Fang
5	The braid indices of alternating links	Pengyu Liu
6	Robust generalized likelihood ratio test based on penalization	Meijiao Zhang
7	Accurate and efficient calculation of singular electrostatic potentials in charge-dielectric spherical and Janus particle systems	Caylah N. Retz
8	High confidence set regularization in sparse high dimensional logistic regression with measurement error	Maorong Rao
9	Uniform flag triangulations of the Legendre polytope	Richard Ehrenborg, Gabor Hetyei and Margaret Readdy

2017

Paper Number	Title	Author
1	The Braid Index Of Alternating Links	Yuanan Diao, Gabor Hetyei and Pengyu Liu
2	Parallel computing for Markov chains with islands and ports	Amod Basnet
3	Optimal multiple stopping: theory and applications	Gary Wayne Crosby
4	Non-nested model selection via empirical likelihood	Cong Zhao
5	American options pricing using HJM methodology	Wedige Sandesh Kushantha Fernando
6	Alternation acyclic tournaments	Gabor Hetyei
7	Counting partitions of a fixed genus	Robert Cori and Gabor Hetyei

2016

Paper Number	Title	Author
1	Limit Theorems for Random Exponential Sums and Their Applications to Insurance and Random Energy Model	Huseyin Eturk
2	High-Order Integral Equations for Electromagnetic Problems in Layered Media with Applications in Biology and Solar Cells	Brian Zinser
3	Limit Theorems for One Class of Erogodic Markov Chains	Nezihe Turhan
4	Frame Wavelets in High Dimension	Wei Huang
5	Analysis of Semiparametric Regression Models for the Cumulative Incidence Functions Under the Two-Phase Sampling Designs	Unkyung Lee
6	The Braid Index of Reduced Alternating Braids	Pengyu Liu, Yuanan Diao, Gabor Hetyei
7	Estimation of Standardized Mutual Information	Zhiyi Zhang and Ann M. Stewart
8	Simion’s Type B Associahedron is a Pulling Triangulation of the Legendre Polytope	Richard Ehrenborg, Gabor Hetyei, Margaret Readdy
9	Path IntegralMethods Using Feynman-Kac Formula and Reflecting Brownian Motions for Neumann and Robin Problems	Yijing Shou
10	Intermittency for Branching Random Walks with Heavy Tails	Asmaa Getan
11	Isogeometric Collocation Method for Elasticity Problems Containing Singularities	Puja Rattan
12	High Order H(DIV) Discontinuous Galerkin Methods for MHD Equations	Jian Wu
13	Nonparametric Predictive Regression	Xintian Yu
14	Partition of Unity IsogeometricAnalysis for Singularly Perturbed Problems and Fourth Order Differential Equations Containing Singularities	Sinae Kim

2015

Paper Number	Title	Author
1	Approximating Solutions of Boundary Value Problems	Hamid Semiyari
2	Symmetry, Reduction, and Constraints in Mechanics and Hydro Dynamics	Michael J. Fairchild
3	Efron’s Coins and the Linial Arrangement	Gabor Hetyei

2014

Paper Number	Title	Author
1	Generalized Tchebyshev Triangulations	Gabor Hetyei and Eran Nevo
2	Generating Radom Walks and Polygons With Stiffness in Confinement	Y. Diao, C. Ernst, S. Saarinen, U. Zeigler
3	Orientation of DNA Minicircles Balances Density and Topological Complexity in Kineoplast DNA	Yuanan Diao, Victor Rodriguez, Michele Klingbeil, Javier Arsuaga
4	The Effect of Volume Exclusion on the Formation of DNA Minicirle Networks	Y. Diao, K. Hinson, and J. Arsuaga

2013

Paper Number	Title	Author
1	Isogeometric Analysis and Patchwise Reproducing Polynomial Particle Method for Plants	Hyunju Kim
2	Asymptotic Approximation of the Radom Walks with Heavy Tail	Agbor Andu Ebot
3	Asymptotic Normality of Entropy Estimators	Xing Zhang
4	The Toric H-Vector of a Cubical Complex in Terms of Noncrossing Partition Statistics	Sarah Bridson, Gabor Heytei
5	On The Structure and Invariants of Cubical Complexes	Sarah J. Birdsong
6	Binary Edwards Curves in Elliptic Curve Cryptography	Graham Enos
7	Generalized Quasi-Likelihood Ratio Tests for Varying Coefficient Quantile Regression Models	Yonggang Wang
8	Counting Genus One Partitions and Permutation	Robert Cori, Gabor Hetyei
9	Consistent Non-Parametric Test on Nonlinear Regression Models with Near-Integrated Covariates	Li Wu
10	Curvature of Random Walks and Random Polygons In Confinement	Y. Diao, C. Ernst, A. Montemayor, and U. Ziegler
11	Percolation Phenomena in Disordered Topological Networks	V. Rodriguez, Y. Diao, and J. Arsuaga
12	Random Walks and Polygons in Tight Congfinement	Y. Diao, C. Ernst, and U. Ziegler
13	The Knot Spectrum of Confined Random Equilateral Polygons	Y. Diao, C. Ernst, A. Montemayer, E. Rawdon, and U. Ziegler
14	Properties of Topological Networks of Flexible Polygonal Chains	J. Arsuaga, Y. Diao, M. Klingbeil, V. Rodriguez
15	A Random Hierarchial Laplacian	Eli Everette Ray

2012

Paper Number	Title	Author(s)
1	A Multivariate Normal Law for Turning Formule	Zhiyi Zhang
2	Relative Tute Polynomials of Tensor Products of Colored Graphs	Y. Diao and G. Hetyei
3	Variable Selection for Functional Index Coefficient Models and its Application in Finance and Engineering	Bingduo Yang
4	Semiparametric Time-Varying Coefficient Regression Model for Longitudinal Data with Censored Time Origin	Qiong Shou
5	Branching Processes in Random Trees	Yanjmaa Jutmaan
6	Profile Local Linear Estimation of Generalized Semiparametric Regression Model for Longitudinal Data	Yanqing Sun
7	Hybrid Solvation Models for Electrostatic Interactions in Molecular Dynamics Simulations of Ionic Solvent	Ming Xiang
8	A Unified Treatment of Derivative Pricing and Forward Decision Problems Within HJM Framework	Wenhau Sou
9	Generating Equilateral Random Polygons in Confinement II	Y. Diao, C. Ernst, A. Montemayor, and U. Ziegler
10	Generating Equilateral Random Polygons in Confinement III	Y. Diao, C. Ernst, A. Montemayor, and U. Ziegler
11	Hurwitzian Continued Fractions Containing a Repeated Constat and an Arithmetic Progression	Gabor Hetyei

2011

Paper Number	Title	Author(s)
1	The Center Problem on a Center Manifold in R3	V.F. Ednearl, A. Mahdi, V.G. Romanovski, and D.S. Shafer
2	Centers on Center Manifolds in the LU System	Adam Mahdi, Claudio Pessoa, and Douglas S. Shafer
3	The Study of “Loop” Markov Chains	Perry L. Gillespie
4	Integrability of the Nose-Hoover Equation	Adam Mahdi and Claudia Valls
5	Polynomial Integrability of the Hamiltonian Systems with Homogeneous Potential of Degree -2	Jaume Llibre, Adam Mahdi, and Claudia Valls
6	Gevrey Regularity for a Class of Dissipative Equations	Animikh Biswas
7	Analysis of Failure Time Data with Missing and Informative Auxiliary Covariates	Lipika Gosh
8	Essays on λ-Quantile Dependent Convex Risk Measures	Lihong Xia
9	Statistical Analysis of Mark-Specific Proportional Hazards Model	Mei Li
10	Nonparametric Pricing Kernel Models	Linman Sun
11	Meshless Boundary Particle Methods for Boundy Integral Equations and Meshfree Particle Methods for Plates	Christopher Bard Davis
12	Limit Theorems for Reaction Diffusion Models	Yaqin Feng
13	Gevrey Regularity for a Class of Dissipative Equations with Analytic Nonlinearity	Hantaek Bae and Animikh Biswas
14	Consistency Results in the Theory of Continuous Functions and Selective Separability	Doyle Barman
15	Polynomial Integrability of The Hamiltonian System with Homogebeous Potential of Degree -3	Jaume Llibre, Adam Mahdi, and Claudia Valls
16	Asymptotic Analysis of the Anderson Parabolic Problem and the Moser’s Type Optimal Stopping Problem	Hao Zhang
17	On s-Elementary Super Frame Wavelets and Their Path-Connectedness	Yuanan Diao and Shongyan Li
18	Generating Equilateral Random Polygons in Confinement	Y. Diao, C. Ernst, A. Montemayor, and U. Ziegler
19	Nullifications of Knots and Links	Y. Diao, C. Ernst, and A. Montemayor
20	The Effects of Angle Restriction on the Topological Characteristics of Minicircle Networks	J. Arsuaga, Y. Diao, and K. Hinson
21	Bounds for Minimum Step Number of Knots Confined to Slabs in the Simple Cubic Lattice	K. Ishihara, R. Scharein, Y. Diao, J. Arsuaga, M. Vazquez and K. Shimokawa
22	The Growth of Minicircle Networks on Regular Latices	J. Arsuaga, Y. Diao, and K. Hinson
23	Continue, Quit, Restart Probability Model and Related Problems	Constantine Steinberg
24	A Gray Code for the Shelling Types of the Boundary of a Hypercube	Sarah Birdsong and Gabor Hetyei