K. McGoff

activity

20092026

most citedConsistency of maximum likelihood estimation for some dynamical systems

10 citations · 38 across the 25 of their papers we have counts for

collaborators

28 papers

math.DS2026

Ergodic Optimization with Linear Constraints

Shengwen Guo, Kevin McGoff

Let $T : X \to X$ be a continuous map of a compact metrizable space, and let $ϕ : X \to R$ be a continuous function. The ergodic optimization problem is to maximize the int…

math.ST2026★ 1 cited

Graph Disjointness with Applications to Reversible Markov Chains

Yang Xiang, Kevin McGoff, Andrew B. Nobel

The correspondence between weighted undirected graphs and reversible Markov chains via vertex random walks is simple and well known. Leveraging this correspondence and ideas from t…

math.CO2025★ 1 cited

Optimal graph joining with applications to isomorphism detection and identification

Phuong N. Hoàng, Kevin McGoff, Andrew B. Nobel +2

We introduce an optimal transport based approach for comparing undirected graphs with non-negative edge weights and general vertex labels, and we study connections between the resu…

math.DS2024

Homomorphisms from aperiodic subshifts to subshifts with the finite extension property

Robert Bland, Kevin McGoff

Given a countable group $G$ and two subshifts $X$ and $Y$ over $G$ , a continuous, shift-commuting map $ϕ : X \to Y$ is called a homomorphism. Our main result states that if every fi…

q-bio.PE2024

Generalized Measures of Population Synchrony

Francis C. Motta, Kevin McGoff, Breschine Cummins +1

Synchronized behavior among individuals is a ubiquitous feature of populations. Understanding mechanisms of (de)synchronization demands meaningful, interpretable, computable quanti…

math.DS2022★ 4 cited

Subsystem entropies of shifts of finite type and sofic shifts on countable amenable groups

Robert Bland, Kevin McGoff, Ronnie Pavlov

In this work we study the entropies of subsystems of shifts of finite type (SFTs) and sofic shifts on countable amenable groups. We prove that for any countable amenable group $G$ ,…

math.DS2021

Topological dynamics of Markov multi-maps of the interval

James P. Kelly, Kevin McGoff

We study Markov multi-maps of the interval from the point of view of topological dynamics. Specifically, we investigate whether they have various properties, including topological…

math.ST2021

Estimation of Stationary Optimal Transport Plans

Kevin O'Connor, Kevin McGoff, Andrew B Nobel

We study optimal transport for stationary stochastic processes taking values in finite spaces. In order to reflect the stationarity of the underlying processes, we restrict attenti…

cs.LG2021

Alignment and Comparison of Directed Networks via Transition Couplings of Random Walks

Bongsoo Yi, Kevin O'Connor, Kevin McGoff +1

We describe and study a transport based procedure called NetOTC (network optimal transition coupling) for the comparison and alignment of two networks. The networks of interest may…

math.PR2020★ 2 cited

Shotgun identification on groups

Jacob Raymond, Robert Bland, Kevin McGoff

We consider the problem of shotgun identification of patterns on groups, which extends previous work on shotgun identification of DNA sequences and labeled graphs. A shotgun identi…

math.OC2020★ 4 cited

Optimal Transport for Stationary Markov Chains via Policy Iteration

Kevin O'Connor, Kevin McGoff, Andrew B. Nobel

We study the optimal transport problem for pairs of stationary finite-state Markov chains, with an emphasis on the computation of optimal transition couplings. Transition couplings…

math.DS2020★ 2 cited

Ubiquity of entropies of intermediate factors

Kevin McGoff, Ronnie Pavlov

We consider topological dynamical systems $(X, T)$ , where $X$ is a compact metrizable space and $T$ denotes an action of a countable amenable group $G$ on $X$ by homeomorphisms. For…

math.DS2019

Entropy conjugacy for Markov multi-maps of the interval

James P. Kelly, Kevin McGoff

We consider a class $F$ of Markov multi-maps on the unit interval. Any multi-map gives rise to a space of trajectories, which is a closed, shift-invariant subset of $[0,1…

math.ST2019

Gibbs posterior convergence and the thermodynamic formalism

Kevin McGoff, Sayan Mukherjee, Andrew Nobel

In this paper we consider a Bayesian framework for making inferences about dynamical systems from ergodic observations. The proposed Bayesian procedure is based on the Gibbs poster…

math.DS2018

Pressure and escape rates for random subshifts of finite type

Kevin McGoff

In this work we consider several aspects of the thermodynamic formalism in a randomized setting. Let $X$ be a non-trivial mixing shift of finite type, and let $f : X \to \mathbb{R}…

math.DS2017

Factor maps and embeddings for random $Z^{d}$ shifts of finite type

Kevin McGoff, Ronnie Pavlov

For any $d \geq 1$ , random $Z^{d}$ shifts of finite type (SFTs) were defined in previous work of the authors. For a parameter $α \in [0, 1]$ , an alphabet $A$ , and a…

math.ST2016

Empirical risk minimization and complexity of dynamical models

Kevin McGoff, Andrew B. Nobel

A dynamical model consists of a continuous self-map $T : X \to X$ of a compact state space $X$ and a continuous observation function $f: \mathcal{X} \t…

math.DS2016★ 1 cited

Factoring onto $Z^{d}$ subshifts with the finite extension property

Raimundo Briceño, Kevin McGoff, Ronnie Pavlov

We define the finite extension property for $d$ -dimensional subshifts, which generalizes the topological strong spatial mixing condition defined by Briceño (2016), and we prove tha…

math.DS2016★ 2 cited

Variational analysis of inference from dynamical systems

Kevin McGoff, Andrew B. Nobel

We introduce and study a variational framework for the analysis of empirical risk based inference for dynamical systems and ergodic processes. The analysis applies to a two-stage e…

math.PR2014

Coalescence and meeting times on $n$ -block Markov chains

Kathleen Lan, Kevin McGoff

We consider finite state, discrete-time, mixing Markov chains $(V, P)$ , where $V$ is the state space and $P$ is transition matrix. To each such chain $(V, P)$ , we associate a sequenc…

math.DS2014

Random $Z^{d}$ -shifts of finite type

Kevin McGoff, Ronnie Pavlov

In this work we consider an ensemble of random $Z^{d}$ -shifts of finite type ( $Z^{d}$ -SFTs) and prove several results concerning the behavior of typical systems with…

math.DS2014

On intrinsic ergodicity of factors of $Z^{d}$ subshifts

Kevin McGoff, Ronnie Pavlov

It is well-known that any $Z$ subshift with the specification property has the property that every factor is intrinsically ergodic, i.e., every factor has a unique factor…

math.DS2013

Bowen's entropy-conjugacy conjecture is true up to finite index

Mike Boyle, Jerome Buzzi, Kevin Mcgoff

For a topological dynamical system consisting of a continuous map f, and a (not necessarily compact) subset Z of X, Bowen (1973) defined a dimension-like version of entropy, h_X(f,…

math.ST2013★ 10 cited

Consistency of maximum likelihood estimation for some dynamical systems

Kevin McGoff, Sayan Mukherjee, Andrew Nobel +1

We consider the asymptotic consistency of maximum likelihood parameter estimation for dynamical systems observed with noise. Under suitable conditions on the dynamical systems and…

Ergodic Optimization with Linear Constraints

Graph Disjointness with Applications to Reversible Markov Chains

Optimal graph joining with applications to isomorphism detection and identification

Homomorphisms from aperiodic subshifts to subshifts with the finite extension property

Generalized Measures of Population Synchrony

Subsystem entropies of shifts of finite type and sofic shifts on countable amenable groups

Topological dynamics of Markov multi-maps of the interval

Estimation of Stationary Optimal Transport Plans

Alignment and Comparison of Directed Networks via Transition Couplings of Random Walks

Shotgun identification on groups

Optimal Transport for Stationary Markov Chains via Policy Iteration

Ubiquity of entropies of intermediate factors

Entropy conjugacy for Markov multi-maps of the interval

Gibbs posterior convergence and the thermodynamic formalism

Pressure and escape rates for random subshifts of finite type

Factor maps and embeddings for random Zd shifts of finite type

Empirical risk minimization and complexity of dynamical models

Factoring onto Zd subshifts with the finite extension property

Variational analysis of inference from dynamical systems

Coalescence and meeting times on n-block Markov chains

Random Zd-shifts of finite type

On intrinsic ergodicity of factors of Zd subshifts

Bowen's entropy-conjugacy conjecture is true up to finite index

Consistency of maximum likelihood estimation for some dynamical systems

Factor maps and embeddings for random $Z^{d}$ shifts of finite type

Factoring onto $Z^{d}$ subshifts with the finite extension property

Coalescence and meeting times on $n$ -block Markov chains

Random $Z^{d}$ -shifts of finite type

On intrinsic ergodicity of factors of $Z^{d}$ subshifts