Matt Holzer

Generating author description...

All published works

Action	Title	Year	Authors
+	Pushed and pulled fronts in a logistic Keller–Segel model with chemorepulsion<sup>*</sup>	2025	Montie Avery Matt Holzer Arnd Scheel
+ PDF Chat	Persistence of steady-states for dynamical systems on large networks	2024	Jason J. Bramburger Matt Holzer Jackson Williams
+ PDF Chat	Pattern Formation in Random Networks Using Graphons	2023	Jason J. Bramburger Matt Holzer
+	Pushed and pulled fronts in a logistic Keller-Segel model with chemorepulsion	2023	Montie Avery Matt Holzer Arnd Scheel
+ PDF Chat	Epidemic Spreading on Complex Networks as Front Propagation into an Unstable State	2022	Ashley Armbruster Matt Holzer Noah Roselli Lena Underwood
+ PDF Chat	Locked fronts in a discrete time discrete space population model	2022	Matt Holzer Zachary Richey Wyatt Rush Samuel Schmidgall
+	Pushed-to-pulled front transitions: continuation, speed scalings, and hidden monotonicity	2022	Montie Avery Matt Holzer Arnd Scheel
+ PDF Chat	Invasion into remnant instability: a case study of front dynamics	2022	Grégory Faye Matt Holzer Arnd Scheel Lars Siemer
+	Pushed fronts in a Fisher-KPP-Burgers system using geometric desingularization	2022	Matt Holzer Matthew Kearney Samuel Molseed Katie Tuttle David Wigginton
+ PDF Chat	Asymptotic spreading for Fisher-KPP reaction-diffusion equations with heterogeneous shifting diffusivity	2021	Grégory Faye Thomas Giletti Matt Holzer
+	Pattern Formation in Random Networks Using Graphons	2021	Jason J. Bramburger Matt Holzer
+	Epidemic spreading on complex networks as front propagation into an unstable state	2021	Ashley Armbruster Matt Holzer Noah Roselli Lena Underwood
+	Asymptotic spreading for Fisher-KPP reaction-diffusion equations with heterogeneous shifting diffusivity	2021	Grégory Faye Thomas Giletti Matt Holzer
+ PDF Chat	Asymptotic stability of the critical pulled front in a Lotka-Volterra competition model	2020	Grégory Faye Matt Holzer
+	Locked fronts in a discrete time discrete space population model	2020	Matt Holzer Zachary Richey Wyatt Rush Samuel Schmidgall
+	Asymptotic stability of the critical pulled front in a Lotka-Volterra competition model	2019	Grégory Faye Matt Holzer
+	Asymptotic stability of the critical pulled front in a Lotka-Volterra competition model	2019	Grégory Faye Matt Holzer
+ PDF Chat	Asymptotic stability of the critical Fisher–KPP front using pointwise estimates	2018	Grégory Faye Matt Holzer
+	Bifurcation to locked fronts in two component reaction–diffusion systems	2018	Grégory Faye Matt Holzer
+ PDF Chat	Invasion fronts on graphs: The Fisher-KPP equation on homogeneous trees and Erdős-Réyni graphs	2018	A. Hoffman Matt Holzer
+ PDF Chat	Estimating epidemic arrival times using linear spreading theory	2018	Lawrence M. Chen Matt Holzer Anne Shapiro
+ PDF Chat	Asymptotic stability of the critical Fisher-KPP front using pointwise estimates	2018	Grégory Faye Matt Holzer
+ PDF Chat	Pattern formation, traveling fronts and consensus versus fragmentation in a model of opinion dynamics	2017	Matt Holzer Ratna Khatri
+ PDF Chat	Linear spreading speeds from nonlinear resonant interaction	2017	Grégory Faye Matt Holzer Arnd Scheel
+	Pattern formation, traveling fronts and consensus versus fragmentation in a model of opinion dynamics	2017	Matt Holzer Ratna Khatri
+	Bifurcation to locked fronts in two component reaction-diffusion systems	2017	Grégory Faye Matt Holzer
+	Pattern formation, traveling fronts and consensus versus fragmentation in a model of opinion dynamics	2017	Matt Holzer Ratna Khatri
+	Asymptotic stability of the critical Fisher-KPP front using pointwise estimates	2017	Grégory Faye Matt Holzer
+	Invasion fronts on graphs: the Fisher-KPP equation on homogeneous trees and Erd\H{o}s-R\'eyni graphs	2016	A. Hoffman Matt Holzer
+	Invasion fronts on graphs: the Fisher-KPP equation on homogeneous trees and Erdős-Réyni graphs	2016	A. Hoffman Matt Holzer
+ PDF Chat	A proof of anomalous invasion speeds in a system of coupled Fisher-KPP equations	2015	Matt Holzer
+ PDF Chat	Modulated traveling fronts for a nonlocal Fisher-KPP equation: A dynamical systems approach	2014	Grégory Faye Matt Holzer
+	Modulated traveling fronts for a nonlocal Fisher-KPP equation: a dynamical systems approach	2014	Grégory Faye Matt Holzer
+ PDF Chat	Criteria for Pointwise Growth and Their Role in Invasion Processes	2014	Matt Holzer Arnd Scheel
+	An analysis of the renormalization group method for asymptotic expansions with logarithmic switchback terms	2014	Matt Holzer Tasso J. Kaper
+	Modulated traveling fronts for a nonlocal Fisher-KPP equation: a dynamical systems approach	2014	Grégory Faye Matt Holzer
+ PDF Chat	Anomalous spreading in a system of coupled Fisher–KPP equations	2013	Matt Holzer
+	Anomalous spreading in a system of coupled Fisher-KPP equations	2012	Matt Holzer
+	Existence and Stability of Traveling Pulses in a Reaction–Diffusion-Mechanics System	2012	Matt Holzer Arjen Doelman Tasso J. Kaper
+	Anomalous spreading in a system of coupled Fisher-KPP equations	2012	Matt Holzer
+	Singular perturbations of <i>z<sup>n</sup></i>	2008	Robert L. Devaney Matt Holzer Daniel M. Look Mónica Moreno Rocha David Uminsky
+ PDF Chat	Analysis of a renormalization group method and normal form theory for perturbed ordinary differential equations	2008	Robert Deville Anthony Harkin Matt Holzer Krešimir Josić́ Tasso J. Kaper
+	Analysis of a Renormalization Group Method for Solving Perturbed Ordinary Dieren tial Equations	2006	Anthony Harkin Matt Holzer Tasso J. Kaper
+	Blowup points and baby Mandelbrot sets for singularly perturbed rational maps	2006	Robert L. Devaney Matt Holzer David Uminsky

Common Coauthors

Coauthor	Papers Together
Grégory Faye	15
Arnd Scheel	6
Tasso J. Kaper	4
Montie Avery	3
Jason J. Bramburger	3
A. Hoffman	3
Lena Underwood	2
Robert L. Devaney	2
Ashley Armbruster	2
Thomas Giletti	2
Anthony Harkin	2
Zachary Richey	2
Wyatt Rush	2
Ratna Khatri	2
Samuel Schmidgall	2
David Uminsky	2
Noah Roselli	2
Daniel M. Look	1
Samuel Molseed	1
Robert Deville	1
Jackson Williams	1
Anne Shapiro	1
Arjen Doelman	1
Mónica Moreno Rocha	1
Lars Siemer	1
Krešimir Josić́	1
Lawrence M. Chen	1
Ratna Khatri	1
Katie Tuttle	1
David Wigginton	1
Matthew Kearney	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Front propagation into unstable states	2003	W. vanSaarloos	16
+ PDF Chat	Criteria for Pointwise Growth and Their Role in Invasion Processes	2014	Matt Holzer Arnd Scheel	10
+	Multidimensional nonlinear diffusion arising in population genetics	1978	D. G. Aronson Hans F. Weinberger	9
+ PDF Chat	Pointwise semigroup methods and stability of viscous shock waves	1998	Kevin Zumbrun Peter Howard	7
+	Evans function and blow-up methods in critical eigenvalue problems	2004	Björn Sandstede Arnd Scheel	7
+	Propagating Pattern Selection	1983	Gregory T. Dee J. S. Langer	6
+	On the nonlinear dynamics of travelling fronts	1992	Klaus Kirchgässner	6
+	On the stability of waves of nonlinear parabolic systems	1976	D. H. Sattinger	6
+ PDF Chat	Anomalous spreading in a system of coupled Fisher–KPP equations	2013	Matt Holzer	6
+	Convergence of solutions of the Kolmogorov equation to travelling waves	1983	Maury Bramson	5
+	The gap lemma and geometric criteria for instability of viscous shock profiles	1998	Robert A. Gardner Kevin Zumbrun	5
+ PDF Chat	Dichotomies in Stability Theory	1978	W. A. Coppel	5
+	Stability of Travelling Waves	2002	Björn Sandstede	5
+	Analysis of linear determinacy for spread in cooperative models	2002	Hans F. Weinberger Mark A. Lewis Bingtuan Li	5
+	Absolute and convective instabilities of spatially periodic flows	1996	Leonid Brevdo Thomas J. Bridges	5
+ PDF Chat	Coupled Reaction-Diffusion Equations	1991	Mark Freidlin	5
+	A topological invariant arising in the stability analysis of travelling waves.	1990	J. C. Alexander Rod Gardner C Jones	4
+ PDF Chat	Invasion of open space by two competitors: spreading properties of monostable two‐species competition‐diffusion systems	2019	Léo Girardin King‐Yeung Lam	4
+	Reaction-diffusion equations for population dynamics with forced speed I - The case of the whole space	2008	Henri Berestycki Luca Rossi	4
+	The approach of solutions of nonlinear diffusion equations to travelling front solutions	1977	Paul C. Fife J. B. McLeod	4
+	Travelling fronts in nonlinear diffusion equations	1975	K. P. Hadeler Franz Rothe	4
+ PDF Chat	Nonlinear stability of source defects in the complex Ginzburg–Landau equation	2014	Margaret Beck Toan T. Nguyen Björn Sandstede Kevin Zumbrun	4
+ PDF Chat	Renormalization Group and the Ginzburg-Landau equation	1992	Jean Bricmont A. Kupiainen	4
+	Pointwise estimates and stability for degenerate viscous shock waves	2002	Peter Howard	4
+	The Accommodation of Traveling Waves of Fisher’s Type to the Dynamics of the Leading Tail	1993	Michael R. Booty R. Haberman Antonmaria A. Minzoni	3
+	Spatio-Temporal Dynamics of Reaction-Diffusion Patterns	2003	Bernold Fiedler Arnd Scheel	3
+ PDF Chat	Linear spreading speeds from nonlinear resonant interaction	2017	Grégory Faye Matt Holzer Arnd Scheel	3
+	Bifurcating fronts for the Taylor—Couette problem in infinite cylinders	1999	M. Hărăguş–Courcelle Guido Schneider	3
+ PDF Chat	Nonlinear stability of spatially-periodic traveling-wave solutions of systems of reaction–diffusion equations	2011	Mathew A. Johnson Kevin Zumbrun	3
+ PDF Chat	Existence and stability of propagating fronts for an autocatalytic reaction-diffusion system	1998	S. Focant Th. Gallay	3
+	On a certain renormalization group method	2000	Mohammed Ziane	3
+	The Use of an lnvariance Condition in the Solution of Multiple-Scale Singular Perturbation Problems: Ordinary Differential Equations	1993	S. Woodruff	3
+ PDF Chat	A Geometrical Formulation of the Renormalization Group Method for Global Analysis	1995	Teiji Kunihiro	3
+ PDF Chat	Renormalization-Group Method for Reduction of Evolution Equations; Invariant Manifolds and Envelopes	2000	Shin-Ichiro Ei Kazuyuki Fujii Teiji Kunihiro	3
+	Spreading speeds as slowest wave speeds for cooperative systems	2005	Bingtuan Li Hans F. Weinberger Mark A. Lewis	3
+ PDF Chat	A proof of anomalous invasion speeds in a system of coupled Fisher-KPP equations	2015	Matt Holzer	3
+	The Hidden Geometry of Complex, Network-Driven Contagion Phenomena	2013	Dirk Brockmann Dirk Helbing	3
+ PDF Chat	A short proof of the logarithmic Bramson correction in Fisher-KPP equations	2013	François Hamel James Nolen Jean‐Michel Roquejoffre Lenya Ryzhik	3
+ PDF Chat	Epidemic fronts in complex networks with metapopulation structure	2013	Jason Hindes Sarabjeet Singh Christopher R. Myers David J. Schneider	3
+ PDF Chat	Renormalization Group Theory for Global Asymptotic Analysis	1994	Lin Yuan Chen Nigel Goldenfeld Y. Oono	3
+	Tracking Invariant Manifolds with Differential Forms in Singularly Perturbed Systems	1994	Christopher K. R. T. Jones Nancy Kopell	3
+ PDF Chat	Renormalization group and singular perturbations: Multiple scales, boundary layers, and reductive perturbation theory	1996	Lin-Yuan Chen Nigel Goldenfeld Y. Oono	3
+	A reaction-diffusion model of cancer invasion.	1996	Robert A. Gatenby E. T. Gawlinski	2
+ PDF Chat	Epidemic processes in complex networks	2015	Romualdo Pastor‐Satorras Claudio Castellano Piet Van Mieghem Alessandro Vespignani	2
+	Renormalization group analysis of differential equations subject to slowly modulated perturbations	2000	Glenn C. Paquette	2
+ PDF Chat	Singular perturbation methods for ordinary differential equations	1992	Jr. Robert E. O'Malley	2
+	Normal Forms for Nonautonomous Differential Equations	2002	Stefan Siegmund	2
+	Averaging Methods in Nonlinear Dynamical Systems	2007	Jan A. Sanders Ferdinand Verhulst James Murdock	2
+	Tracking Invariant Manifolds up to Exponentially Small Errors	1996	Christopher K. R. T. Jones Tasso J. Kaper Nancy Kopell	2
+	Deriving amplitude equations for weakly-nonlinear oscillators and their generalizations	2005	Robert E. O’Malley David B. Williams	2