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Recently Published Research by the Department of Mathematics Faculty

This is a continuously updated list of the most recent publications from our departmental faculty.
  • Dan Saracino, On criteria for rook equivalence of Ferrers boards
    (with J. Bloom)
    European Journal of Combinatorics

  • Joe P. Chen, From non-symmetric particle systems to non-linear PDEs on fractals
    with M. Hinz and A. Teplyaev)
    in Stochastic Partial Differential Equations and Related Fields

  • Gunog Seo, Sensitivity of the dynamics of the general Rosenzweig–MacArthur model to the mathematical form of the functional response: a bifurcation theory approach
    (with G. Wolkowicz)
    Journal of Mathematical Biology

  • Ahmet Ay, Noise in the Vertebrate Segmentation Clock Is Boosted by Time Delays but Tamed by Notch Signaling
    with S. Keskin, G. Devakanmalai, S. Kwon, H. Vu, Q. Hong, Y. Lee, M. Soltani, A. Singh, and E. Özbudak)
    Cell Reports
  • Will Cipolli, Cellular metabolism and oxidative stress as a possible determinant for longevity in small breed and large breed dogs
    (with A. Jimenez, J. Winward, and U. Beattle)
    PLoS ONE

  • Dan Saracino, Rook and Wilf equivalence of integer partitions
    (with J. Bloom)
    European Journal of Combinatorics

  • Jens Christensen, Atomic decompositions of mixed norm Bergman spaces on tube type domains
    Contemporary Mathematics

  • Ahmet Ay, Modeling Strengthens Molecular Link between Circadian Polymorphisms and Major Mood Disorders
    with A. Liberman, L. Halitjaha, and K. Ingram)
    Journal of Biological Rhythms
  • Joe P. Chen, Regularized Laplacian determinants of self-similar fractals
    (with A. Teplyaev and K. Tsougkas)
    Letters in Mathematical Physics
  • Will Cipolli, A copula approach for testing independence between Poisson distributed variables
    (with R. Bower, J. Hussey, J. Zhang, J. Quattro, and J. Hardin)
    Communications in Statistics: Case Studies, Data Analysis, and Applications

  • Ahmet Ay, Construction of signaling pathways with RNAi data and multiple reference networks
    (with M. Alim, M. Hasan, M. Thai, and T. Kahveci)
    IEEE/ACM Transactions on Computational Biology and Bioinformatics

  • Gunog Seo, Bifurcations and global dynamics in a toxin-dependent aquatic population model
    with Q. Huang and C. Shan)
    Mathematical Biosciences
  • Joe P. Chen, The moving particle lemma for the exclusion process on a weighted graph
    Electronic Communications in Probability
  • Ahmet Ay, Circadian clock model supports molecular link between PER3 and human anxiety
    (with A. Liberman, S. Kwon, H. Vu, A. Filipowicz, and K. Ingram)
    Nature Scientific Reports
  • Ahmet Ay, WORMSPREAD: An Individual-based Model of Invasive Earthworm Population Dynamics
    (G. Armstrong, A. Mahmood, A. Nugent, S. Dexter, E. Hutto, and T. McCay)
    Computational Ecology and Software

  • Will Cipolli, In search of a five-star: The centrality of body discourses in the scouting of high school football players
    (with D. Silva and R. Bower)
    Sociology of Sport Journal
  • Evelyn Hart, The equivalence of two methods: finding representatives of non-empty Nielsen classes
    (with H. Vu)
    Bull. Belgian Math. Soc.-Simon Stevin

  • Ahmet Ay, Shifts in bird migration timing in North American long-distance and short-distance migrants are associated with climate change
    with J. Zaifman, D. Shan, and A. Jimenez)
    International Journal of Zoology

  • Silvia Jiménez Bolaños, Derivation of the Navier slip and slip length for viscous flows over a rough boundary
    (with B. Vernescu)
    Physics of Fluids
  • Jens Christensen, Surjectivity of mean value operators on noncompact symmetric spaces
    (with F. Gonzalez and T. Kakehi)
    Journal of Functional Analysis
  • Dan Schult, Synchronization dynamics on the picosecond timescale in coupled Josephson junction neurons
    (with K. Segall, M. LeGro, S. Kaplan, O. Svitelskiy, S. Khadka, P. Crotty)
    Physical Review E

  • Jens Christensen, New atomic decompositions for Bergman spaces on the unit ball
    (with K. Grochenig and G. Olafsson)
    Indiana University Mathematics Journal

  • Ahmet Ay, Molecular basis for chronotype and time-of-day effects on decision-making
    (with K. Ingram, S. Kwon, K. Woods, S. Escobar, M. Gordon, I. Smith, I. Bearden, A. Filipowicz, and K. Jain)
    Nature Scientific Reports

  • Will Cipolli, The paradox of group mind: 'People in a group' have more mind than 'a group of people'
    with E. Cooley, B. Payne, C. Cameron, A. Berger, and K. Gray)
    Journal of Experimental Psychology: General

  • Joe P. Chen, Wave Equation on One-Dimensional Fractals with Spectral Decimation and the Complex Dynamics of Polynomials
    (with U. Andrews, G. Bonik, R. Martin, and A. Teplyaev)
    Journal of Fourier Analysis and Applications

  • Ahmet Ay, Identifying the topology of signaling networks from partial RNAi data
    (with R. Yuanfang, Q. Wang, M. Hasan, and T. Kahveci)
    BMC Systems Biology
  • Will Cipolli, Computationally tractable approximate and smoothed Polya trees
    (with T. Hanson)
    Statistics and Computing

  • Joe P. Chen, Stabilization by noise of a ℂ2-valued coupled system
    (with L. Ford, D. Kielty, R. Majumdar, H. McCain, D. O'Connell, and F. Shum)
    Stochastics & Dynamics

  • Ahmet Ay, Differential DNA level regulation by alternatively designed molecular mechanisms: A mathematical modeling approach
    (with N. Yildirim, M. Aktas, S. Ozcan, and E. Akbas)
    In Silico Biology

  • Dan Saracino, Pattern avoidance for set partitions a la Klazar
    (with Jonathan Bloom)
    Discrete Mathematics and Theoretical Computer Science
  • Evelyn Hart, Algorithms for Nielsen type periodic numbers of maps with remnant on surfaces with boundary and on bouquets of circles II
    (with P. Heath and E. Keppelmann)
    Fundamenta Mathematicae
  • Joe P. Chen, Singularly continuous spectrum of a self-similar Laplacian on the half-line
    (with A. Teplyaev)
    Journal of Mathematical Physics

  • Aaron Robertson, A probabilistic threshold for monochromatic arithmetic progressions
    Journal of Combinatorial Theory Series A

  • Will Cipolli, Bayesian nonparametric multiple testing
    (with T. Hanson and A. McLain)
    Computational Statistics and Data Analysis

  • Dan Saracino, Proofs and generalizations of a homomesy conjecture of J. Propp and T. Roby
    (with J. Bloom and O. Pechenik)
    Discrete Mathematics

  • Ahmet Ay, Mutant screen report: microarray analysis of gene expression in S. cerevisiae kap108delta mutants upon addition of oxidative stress
    (with K. Belanger, N. Larson, J. Kahn, and D. Tkachev)
    G3: Genes | Genomes | Genetics

  • Aaron Robertson, Intermingled ascending wave m-sets
    (with C. Cremin, W. Daniel, and Q. Xiang)
    Discrete Mathematics

  • Dan Saracino, The 2-color Rado number of x1 + x2+ · · · + xn = y1 + y2 + · · · + yk
    Ars Combinatoria

  • Ahmet Ay, Hierarchical decomposition of dynamically evolving regulatory networks
    (with D. Gong and T. Kahveci)
    BMC Bioinformatics

  • Will Cipolli, A comparison of three diagnostic tests for diagnosis of carpal tunnel syndrome using latent class analysis
    (with J. Fowler and T. Hanson)
    Journal of Bone and Joint Surgery

  • Gunog Seo, Existence of multiple limit cycles in a predator–prey model with arctan(ax) as functional response
    (with G. Wolkowicz)
    Communications in Mathematical Analysis

  • Ahmet Ay, Mathematical modeling deciphers the benefits of alternatively-designed conserved activatory and inhibitory gene circuits
    (with N. Wilner and N. Yildirim)
    Molecular BioSystems

  • Jens Christensen, Sampling in Euclidean and non-Euclidean domains: a unified approach
    in Sampling Theory, a Renaissance

  • Ahmet Ay, Diurnal preference predicts phase differences in expression of human peripheral circadian clock genes
    (with A. Ferrante, D. Gellerman, K. Woods, A. Filipowicz, K. Jain, N. Bearden, and K. Ingram)
    Journal of Circadian Rhythms

  • Dan Saracino, The 2-color Rado number of x1+x2+· · ·+xm-1 = axm, II
    Ars Combinatoria

  • Joe P. Chen, Spectral dimension and Bohr's formula for Schrodinger operators on unbounded fractal spaces
    (with S. Molchanov and A. Teplyaev)
    Journal of Physics A: Mathematical and Theoretical

  • Ahmet Ay, Genome-wide errant targeting by Hairy
    (with K. Kok, L. Li, and D. Arnosti)

  • Silvia Jiménez Bolaños, Nonlinear neutral inclusions: assemblages of coated ellipsoids
    (with B. Vernescu)
    Royal Society Open Science

  • Ahmet Ay, Construction of signaling networks with incomplete RNAi data
    (with Q. Wang, Y. Ren, M. Hasan, and T. Kahveci)
    Bioinformatics and Biomedicine

  • Joe P. Chen, Entropic repulsion of Gaussian free field on high-dimensional Sierpinski carpet graphs
    (with B. Ugurcan)
    Stochastic Processes and their Applications

  • Ahmet Ay, Multiple reference networks improve accuracy of signaling network construction
    (with M. Alim, M. Hasan, M. Thai, and T. Kahveci)
    Computational Biology and Health Informatics

  • Aaron Robertson, Ramsey Theory on the Integers, Second edition
    (with B. Landman)
    American Mathematical Society

  • Dan Schult, Phase-flip bifurcation in a coupled Josephson junction neuron system
    (with K. Segall, S. Guo, P. Crotty, and M. Miller)
    Physica B: Condensed Matter

  • Ahmet Ay, Dynamics matter: differences and similarities between alternatively designed regulatory mechanisms
    (with N. Yildirim)
    Molecular BioSystems

  • Joe P. Chen, Periodic billiard orbits of self-similar Sierpinski carpets
    (with R. Niemeyer)
    Journal of Mathematical Analysis and Applications

  • Jens Christensen, Multi-window Gabor frames in amalgam spaces
    (with R. Balan, I. Krishtal, K. Okoudjou, and J. Romero)
    Mathematical Research Letters

  • Ahmet Ay, Network-based prediction of cancer under genetic storm
    (with D. Gong and T. Kahveci)
    Cancer Inform

  • Gunog Seo, Spatial dynamics of an age-structured population model of Asian Clams
    (with J. Fang, K. Lan, and J. Wu)
    SIAM Journal on Applied Mathematics

  • Dan Saracino, A simple bijective proof of the shape-Wilf-equivalence of the patterns 231 and 312
    (with J. Bloom)
    Journal of Combinatorial Mathematics and Combinatorial Computing

  • Dan Saracino, The 2-color Rado number of x1+x2+· · ·+xm-1 = axm
    Ars Combinatoria

  • Ahmet Ay, Spatial gradients of protein-level time delays set the pace of the traveling segmentation clock waves
    (with J. Holland, A. Sperlea, G. Devakanmalai, S. Knierer, S. Sangervasi, A. Stevenson, and E. Ozbudak)

  • Silvia Jiménez Bolaños, Correctors and field fluctuations for the pε(x)-Laplacian with rough exponents: the sublinear growth case
    ESAIM Mathematical Modelling and Numerical Analysis

  • Silvia Jiménez Bolaños, Nonlinear neutral inclusions: assemblages of spheres
    (with B. Vernescu and W. Sanguinet)
    International Journal of Solids and Structures

  • K. G. Valente, Alan Turing: Reflecting on the life and work of a queer mathematician
    in Mathematics in Popular Culture: Appearances in Film, Fiction, Games, Television, and Other Media