Justin C. Tzou

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All published works

Action	Title	Year	Authors
+ PDF Chat	Oscillatory Instabilities of a One-Spot Pattern in the Schnakenberg Reaction-Diffusion System in $3$-D Domains	2024	Shaoren Deng Justin C. Tzou Shuangquan Xie
+	Eigenvalue variations of the Neumann Laplace operator due to perturbed boundary conditions	2024	Medet Nursultanov William Trad Justin C. Tzou Leo Tzou
+ PDF Chat	Counterexample to the Lévy flight foraging hypothesis in the narrow capture framework	2024	Justin C. Tzou Leo Tzou
+ PDF Chat	The narrow capture problem on general Riemannian surfaces	2023	Medet Nursultanov William Trad Justin C. Tzou Leo Tzou
+ PDF Chat	Oscillatory translational instabilities of spot patterns in the Schnakenberg system on general 2D domains	2023	Justin C. Tzou Shuangquan Xie
+	Eigenvalue Variations of the Neumann Laplace Operator Due to Perturbed Boundary Conditions	2023	Medet Nursultanov William Trad Justin C. Tzou Leo Tzou
+	The narrow capture problem on general Riemannian surfaces	2022	Medet Nursultanov William Trad Justin C. Tzou Leo Tzou
+ PDF Chat	On the mean first arrival time of Brownian particles on Riemannian manifolds	2021	Medet Nursultanov Justin C. Tzou Leo Tzou
+	On the Mean First Arrival Time of Brownian Particles on Riemannian Manifolds	2021	Medet Nursultanov Justin C. Tzou Leo Tzou
+	On the Mean First Arrival Time of Brownian Particles on Riemannian Manifolds	2021	Medet Nursultanov Justin C. Tzou Leo Tzou
+	Spot patterns of the Schnakenberg reaction–diffusion system on a curved torus	2019	Justin C. Tzou Leo Tzou
+	The Stability and Slow Dynamics of Localized Spot Patterns for the 3-D Schnakenberg Reaction-Diffusion Model	2017	Justin C. Tzou Shuangquan Xie Théodore Kolokolnikov M. J. Ward
+	Optimization of First Passage Times by Multiple Cooperating Mobile Traps	2017	Alan E. Lindsay Justin C. Tzou Théodore Kolokolnikov
+ PDF Chat	Hybrid asymptotic-numerical approach for estimating first-passage-time densities of the two-dimensional narrow capture problem	2016	Alan E. Lindsay R. T. Spoonmore Justin C. Tzou
+	Weakly Nonlinear Analysis of Vortex Formation in a Dissipative Variant of the Gross--Pitaevskii Equation	2016	Justin C. Tzou P. G. Kevrekidis Théodore Kolokolnikov R. Carretero-González
+	Weakly Nonlinear Analysis of Vortex Formation in a Dissipative Variant of the Gross-Pitaevskii Equation	2015	Justin C. Tzou P. G. Kevrekidis Théodore Kolokolnikov R. Carretero-González
+	Narrow escape problem with a mixed trap and the effect of orientation	2015	Alan E. Lindsay Théodore Kolokolnikov Justin C. Tzou
+ PDF Chat	Mean First Passage Time for a Small Rotating Trap inside a Reflective Disk	2015	Justin C. Tzou Théodore Kolokolnikov
+	Weakly Nonlinear Analysis of Vortex Formation in a Dissipative Variant of the Gross-Pitaevskii Equation	2015	Justin C. Tzou P. G. Kevrekidis Théodore Kolokolnikov R. Carretero-González
+	First-passage times, mobile traps, and Hopf bifurcations	2014	Justin C. Tzou Shuangquan Xie Théodore Kolokolnikov
+	Asymptotic Analysis of First Passage Time Problems Inspired by Ecology	2014	Venu Kurella Justin C. Tzou Daniel Coombs Michael J. Ward
+ PDF Chat	Slowly varying control parameters, delayed bifurcations, and the stability of spikes in reaction–diffusion systems	2014	Justin C. Tzou Michael J. Ward Théodore Kolokolnikov
+	Mean first passage time for a small rotating trap inside a reflective disk	2014	Justin C. Tzou Théodore Kolokolnikov
+	Drunken robber, tipsy cop: First passage times, mobile traps, and Hopf bifurcations	2014	Justin C. Tzou Shuangquan Xie Théodore Kolokolnikov
+	Mean first passage time for a small rotating trap inside a reflective disk	2014	Justin C. Tzou Théodore Kolokolnikov
+	Interaction of Turing and Hopf modes in the superdiffusive Brusselator model	2009	Justin C. Tzou B. J. Matkowsky Vitaly Volpert

Common Coauthors

Coauthor	Papers Together
Théodore Kolokolnikov	12
Leo Tzou	9
Medet Nursultanov	7
Shuangquan Xie	5
William Trad	4
Alan E. Lindsay	3
P. G. Kevrekidis	3
R. Carretero-González	3
Michael J. Ward	2
M. J. Ward	1
Venu Kurella	1
Vitaly Volpert	1
Daniel Coombs	1
R. T. Spoonmore	1
Shaoren Deng	1
B. J. Matkowsky	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part II: The Sphere	2010	Alexei F. Cheviakov Michael J. Ward Ronny Straube	10
+	An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part I: Two-Dimensional Domains	2010	Samara Pillay M. J. Ward Anthony Peirce Théodore Kolokolnikov	10
+ PDF Chat	Narrow Escape, Part II: The Circular Disk	2006	Amit Singer Z. Schuss David Holcman	9
+ PDF Chat	Diffusion on a Sphere with Localized Traps: Mean First Passage Time, Eigenvalue Asymptotics, and Fekete Points	2009	Daniel Coombs Ronny Straube Michael J. Ward	8
+ PDF Chat	Mean First Passage Time for a Small Rotating Trap inside a Reflective Disk	2015	Justin C. Tzou Théodore Kolokolnikov	8
+	An Asymptotic Study of Oxygen Transport from Multiple Capillaries to Skeletal Muscle Tissue	2000	Michèle S. Titcombe Michael J. Ward	8
+ PDF Chat	Optimizing the principal eigenvalue of the Laplacian in a sphere with interior traps	2010	Alexei F. Cheviakov Michael J. Ward	8
+	The Narrow Escape Problem	2014	David Holcman Z. Schuss	7
+	Stochastic Narrow Escape in Molecular and Cellular Biology	2015	David Holcman Z. Schuss	6
+	Asymptotic Analysis of First Passage Time Problems Inspired by Ecology	2014	Venu Kurella Justin C. Tzou Daniel Coombs Michael J. Ward	5
+	First-passage times, mobile traps, and Hopf bifurcations	2014	Justin C. Tzou Shuangquan Xie Théodore Kolokolnikov	5
+	Summing Logarithmic Expansions for Singularly Perturbed Eigenvalue Problems	1993	Michael J. Ward William D. Heshaw Joseph B. Keller	5
+ PDF Chat	Residual mean first-passage time for jump processes: theory and applications to Lévy flights and fractional Brownian motion	2011	Vincent Tejedor O. Bénichou Ralf Metzler Raphaël Voituriez	5
+	Strong Localized Perturbations of Eigenvalue Problems	1993	Micheal J. Ward Joseph B. Keller	5
+ PDF Chat	Can a lamb reach a haven before being eaten by diffusing lions?	2012	Alan Gabel Satya N. Majumdar Nagendra K. Panduranga S. Redner	5
+ PDF Chat	The probability of an encounter of two Brownian particles before escape	2009	David Holcman Ivan Kupka	5
+	Conditional Mean First Passage Times to Small Traps in a 3-D Domain with a Sticky Boundary: Applications to T Cell Searching Behavior in Lymph Nodes	2015	Mariah Delgado Michael J. Ward Daniel Coombs	4
+	Survival of an evasive prey	2009	Gleb Oshanin Oleg A. Vasilyev P. L. Krapivsky J. Klafter	4
+ PDF Chat	First passage times in homogeneous nucleation and self-assembly	2012	Romain Yvinec Maria R. D’Orsogna Tom Chou	4
+ PDF Chat	Pascal principle for diffusion-controlled trapping reactions	2003	M. Moreau Gleb Oshanin O. Bénichou Mathieu Coppey	4
+ PDF Chat	Trapping reactions with randomly moving traps: Exact asymptotic results for compact exploration	2002	Gleb Oshanin O. Bénichou Mathieu Coppey M. Moreau	4
+ PDF Chat	Narrow escape and leakage of Brownian particles	2008	Amit Singer Z. Schuss David Holcman	4
+ PDF Chat	Searching Fast for a Target on DNA without Falling to Traps	2009	O. Bénichou Yariv Kafri Michael Sheinman Raphaël Voituriez	4
+	First-passage quantities of Brownian motion in a bounded domain with multiple targets: a unified approach	2010	Claire Chevalier O. Bénichou B. Meyer Raphaël Voituriez	4
+ PDF Chat	Layer potential techniques for the narrow escape problem	2011	Habib Ammari Konstantinos Kalimeris Hyeonbae Kang Hyundae Lee	4
+	Cops and invisible robbers: The cost of drunkenness	2013	Athanasios Kehagias Dieter Mitsche Paweł Prałat	4
+ PDF Chat	Encounter Times in Overlapping Domains: Application to Epidemic Spread in a Population of Territorial Animals	2013	Luca Giuggioli Sebastian Pérez-Becker David P. Sanders	4
+ PDF Chat	Resonant activation in the presence of nonequilibrated baths	2004	Bartłomiej Dybiec Ewa Gudowska–Nowak	4
+	Diffusion-Controlled Reactions with Mobile Traps	1988	Attila Szabó Robert Zwanzig Noam Agmon	4
+	Determining anisotropic real‐analytic conductivities by boundary measurements	1989	John M. Lee Günther Uhlmann	3
+	The Stability and Slow Dynamics of Localized Spot Patterns for the 3-D Schnakenberg Reaction-Diffusion Model	2017	Justin C. Tzou Shuangquan Xie Théodore Kolokolnikov M. J. Ward	3
+	Hitting probabilities for Brownian motion on Riemannian manifolds	2002	Alexander Grigor’yan Laurent Saloff‐Coste	3
+ PDF Chat	The dynamics of localized spot patterns for reaction-diffusion systems on the sphere	2016	Philippe H. Trinh Michael J. Ward	3
+	Particle–antiparticle annihilation in diffusive motion	1983	D. Toussaint Frank Wilczek	3
+	Moving and jumping spot in a two-dimensional reaction–diffusion model	2017	Shuangquan Xie Théodore Kolokolnikov	3
+	The Stability of Localized Spot Patterns for the Brusselator on the Sphere	2014	Ignacio Rozada Steven J. Ruuth Michael J. Ward	3
+	Introduction to Riemannian Manifolds	2018	John M. Lee	3
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	3
+ PDF Chat	Hybrid asymptotic-numerical approach for estimating first-passage-time densities of the two-dimensional narrow capture problem	2016	Alan E. Lindsay R. T. Spoonmore Justin C. Tzou	3
+ PDF Chat	The Stability and Dynamics of Localized Spot Patterns in the Two-Dimensional Gray–Scott Model	2011	W. Chen M. J. Ward	3
+ PDF Chat	Uniform asymptotic approximation of diffusion to a small target	2013	Samuel A. Isaacson Jay Newby	3
+ PDF Chat	Optimal Search Strategies for Hidden Targets	2005	O. Bénichou Mathieu Coppey Manon Moreau P-H. Suet Raphaël Voituriez	3
+ PDF Chat	Spikes for the Two-Dimensional Gierer-Meinhardt System: The Weak Coupling Case	2001	Juncheng Wei Matthias Winter	2
+	Capturing the Drunk Robber on a Graph	2013	Natasha Komarov Peter Winkler	2
+ PDF Chat	Dynamic Instability of a Rotating Bose-Einstein Condensate	2001	Subhasis Sinha Yvan Castin	2
+	Partial Differential Equations II: Qualitative Studies of Linear Equations	1996	Michael E. Taylor	2
+ PDF Chat	Vortex lattice formation in a rotating Bose-Einstein condensate	2002	Makoto Tsubota Kenichi Kasamatsu Masahito Ueda	2
+ PDF Chat	Lattice theory of trapping reactions with mobile species	2004	M. Moreau Gleb Oshanin O. Bénichou Mathieu Coppey	2
+ PDF Chat	Exploring vortex dynamics in the presence of dissipation: Analytical and numerical results	2014	Dong Yan R. Carretero-González D. J. Frantzeskakis P. G. Kevrekidis N. P. Proukakis Daniel Spirn	2
+ PDF Chat	Transport and the First Passage Time Problem with Application to Cold Atoms in Optical Traps	2014	Eli Barkai David A. Kessler	2