Search Results - "Nicol, Matthew"
-
1
Almost sure invariance principle for sequential and non-stationary dynamical systems
Published in Transactions of the American Mathematical Society (01-08-2017)“…We establish almost sure invariance principles, a strong form of approximation by Brownian motion, for non-stationary time-series arising as observations on…”
Get full text
Journal Article -
2
Nonstationarity of summer temperature extremes in Texas
Published in International journal of climatology (01-01-2020)“…Modelling seasonal temperature extremes in weather patterns allows for better forecasting and prediction. Analysis of extreme values over a given time period…”
Get full text
Journal Article -
3
Large deviations for nonuniformly hyperbolic systems
Published in Transactions of the American Mathematical Society (01-12-2008)“…We obtain large deviation estimates for a large class of nonuniformly hyperbolic systems: namely those modelled by Young towers with summable decay of…”
Get full text
Journal Article -
4
Extreme value theory for non-uniformly expanding dynamical systems
Published in Transactions of the American Mathematical Society (01-02-2012)“…We establish extreme value statistics for functions with multiple maxima and some degree of regularity on certain non-uniformly expanding dynamical systems. We…”
Get full text
Journal Article -
5
Smooth Livšic regularity for piecewise expanding maps
Published in Proceedings of the American Mathematical Society (01-03-2012)“…We consider the regularity of measurable solutions x to the cohomological equation ø=x°T – X, where (T, X, µ) is a dynamical system and ø: X → ℝ is a Cĸ smooth…”
Get full text
Journal Article -
6
A Vector-Valued Almost Sure Invariance Principle for Hyperbolic Dynamical Systems
Published in The Annals of probability (01-03-2009)“…We prove an almost sure invariance principle (approximation by d-dimensional Brownian motion) for vector-valued Hölder observables of large classes of…”
Get full text
Journal Article -
7
Runs of extremes of observables on dynamical systems and applications
Published in Physica. D (01-04-2024)“…We use extreme value theory to estimate the probability of successive exceedances of a threshold value of a time-series of an observable on several classes of…”
Get full text
Journal Article -
8
Annealed and quenched limit theorems for random expanding dynamical systems
Published in Probability theory and related fields (01-06-2015)“…In this paper, we investigate annealed and quenched limit theorems for random expanding dynamical systems. Making use of functional analytic techniques and…”
Get full text
Journal Article -
9
Almost sure invariance principle for nonuniformly hyperbolic systems
Published in Communications in mathematical physics (01-11-2005)Get full text
Journal Article -
10
Erdös–Rényi laws for dynamical systems
Published in Journal of the London Mathematical Society (01-04-2013)“…We establish Erdös–Rényi limit laws for Lipschitz observations on a class of non‐uniformly expanding dynamical systems, including logistic‐like maps. These…”
Get full text
Journal Article -
11
S606 High Rates of Clostridioides difficile Colonization Among Patients Undergoing Gastrointestinal Endoscopy
Published in The American journal of gastroenterology (01-10-2022)Get full text
Journal Article -
12
Itinerary synchronization between PWL systems coupled with unidirectional links
Published in Communications in nonlinear science & numerical simulation (01-05-2019)“…•We study multistability in a master-slave piecewise linear system.•We investigate the collective behavior of systems with unidirectional links and ring…”
Get full text
Journal Article -
13
In-feed use of heavy metal micronutrients in U.S. swine production systems and its role in persistence of multidrug-resistant salmonellae
Published in Applied and Environmental Microbiology (01-04-2014)“…The study aimed to characterize the role of heavy metal micronutrients in swine feed in emergence of heavy-metal-tolerant and multidrug-resistant Salmonella…”
Get full text
Journal Article -
14
Exploring the Strong Interaction Through Electroproduction of Exotic Particles
Published 01-01-2023“…Quarks are the building blocks of hadronic matter. They can combine into systems of three quarks (baryons) and quark-antiquark (mesons). However, evidence for…”
Get full text
Dissertation -
15
Compound Poisson Law for Hitting Times to Periodic Orbits in Two-Dimensional Hyperbolic Systems
Published in Journal of statistical physics (01-11-2017)“…We show that a compound Poisson distribution holds for scaled exceedances of observables ϕ uniquely maximized at a periodic point ζ in a variety of…”
Get full text
Journal Article -
16
Central Limit Theorems for the Shrinking Target Problem
Published in Journal of statistical physics (01-12-2013)“…Suppose B i := B ( p , r i ) are nested balls of radius r i about a point p in a dynamical system ( T , X , μ ). The question of whether T i x ∈ B i infinitely…”
Get full text
Journal Article -
17
A Bernoulli toral linked twist map without positive Lyapunov exponents
Published in Proceedings of the American Mathematical Society (01-04-1996)“…The presence of positive Lyapunov exponents in a dynamical system is often taken to be equivalent to the chaotic behavior of that system. We construct a…”
Get full text
Journal Article -
18
Fluctuating asymmetry of the normal facial skeleton
Published in International journal of oral and maxillofacial surgery (01-04-2018)“…The purpose of this study was to produce reliable estimations of fluctuating facial asymmetry in a normal population. Fifty-four computed tomography (CT)…”
Get full text
Journal Article -
19
Extremal dichotomy for uniformly hyperbolic systems
Published in Dynamical systems (London, England) (02-10-2015)“…We consider the extreme value theory of a hyperbolic toral automorphism showing that, if a Hölder observation φ is a function of a Euclidean-type distance to a…”
Get full text
Journal Article -
20
Birkhoff sum convergence of Fr\'echet observables to stable laws for Gibbs-Markov systems and applications
Published 23-07-2024“…We use a Poisson point process approach to prove distributional convergence to a stable law for non square-integrable observables $\phi: [0,1]\to R$, mostly of…”
Get full text
Journal Article