P. Simon

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Exact epidemic models on graphs using graph-automorphism driven lumping

I. Kiss, P. Simon, Michael Taylor, 2010, Journal of mathematical biology.

ADAPTIVE FINITE ELEMENT METHODS FOR ELLIPTIC EQUATIONS

P. Simon, T. L. Horváth, Péter L. Simon, 2013 .

Bifurcations in non-adiabatic flame propagation models

S. Scott, P. Simon, J. Merkin, 2005 .

Quenching of Flame Propagation with Heat Loss

S. Scott, P. Simon, J. Merkin, 2002 .

An introduction to dyadic harmonic analysis

W. R. Wade, P. Simon, F. Schipp, 1990 .

Cesaro Summability with Respect to Two-Parameter Walsh Systems

P. Simon, 2000 .

The impact of information transmission on epidemic outbreaks.

I. Kiss, J. Cassell, P. Simon, 2010, Mathematical biosciences.

Mean-field approximations for heterogeneous networks

Joel C. Miller, I. Kiss, P. Simon, 2017 .

From exact stochastic to mean-field ODE models: a new approach to prove convergence results

Istvan Z. Kiss, I. Kiss, P. Simon, 2013 .

SIS Epidemic Propagation on Hypergraphs

Gyula Y Katona, Ágnes Bodó, P. Simon, 2015, Bulletin of Mathematical Biology.

2 1 Se p 20 15 SIS epidemic propagation on hypergraphs

P. Simon, G. Katona, Ágnes Bodó, 2015 .

Exact deterministic representation of Markovian $${ SIR}$$SIR epidemics on networks with and without loops

Fanni Sélley, Robert R. Wilkinson, Istvan Z. Kiss, 2015, Journal of mathematical biology.

Stability of flames in an exothermic–endothermic system

S. Scott, P. Simon, J. Merkin, 2004 .

On the Structure of the Spectra for a Class of Combustion Waves

S. Scott, P. Simon, J. Merkin, 2004 .

Multiple sources and routes of information transmission: Implications for epidemic dynamics.

Michael Taylor, Vasilis Hatzopoulos, Péter L Simon, 2011, Mathematical biosciences.

Asymptotic output controllability via Dynamic Matrix Control

P. Simon, Ádám Besenyei, 2012 .

Transcritical bifurcation yielding global stability for network processes

P. Simon, Ágnes Bodó, 2020, Nonlinear Analysis.

Introduction to networks and diseases

Joel C. Miller, I. Kiss, P. Simon, 2017 .

Isothermal flame balls.

S. Scott, P. Simon, D. Horváth, 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

Non-Markovian epidemics

Joel C. Miller, I. Kiss, P. Simon, 2017 .

Analytic Study of Bifurcations of the Pairwise Model for SIS Epidemic Propagation on an Adaptive Network

P. Simon, Ágnes Bodó, 2020 .

On Parameter Identifiability in Network-Based Epidemic Models

I. Kiss, P. Simon, 2022, Bulletin of Mathematical Biology.

Mean-field approximation of counting processes from a differential equation perspective

P. Simon, Dávid Kunszenti-Kovács, 2016 .

Global bifurcations in a dynamical model of recurrent neural networks

P. Simon, Anita Windisch, 2022, Applications of Mathematics.

From Markovian to pairwise epidemic models and the performance of moment closure approximations

I. Kiss, T. House, D. Green, 2011, Journal of Mathematical Biology.

Nonexistence of solutions in $(0,1)$ for K-P-P-type equations for all $d\ge 1$

P. Simon, J. Englander, 2005, math/0509384.

A Contact-Network-Based Formulation of a Preferential Mixing Model

Rowland R Kao, Istvan Z Kiss, I. Kiss, 2009, Bulletin of mathematical biology.

Relationships Between the Discriminant Curve and Other Bifurcation Diagrams

P. Simon, H. Farkas, E. Hild, 2001 .

Constructing global bifurcation diagrams by the parametric representation method

P. Simon, H. Farkas, Péter L. Simon, 1999 .

Application of the parametric representation method to construct bifurcation diagrams for highly non-linear chemical dynamical systems

P. Simon, H. Farkas, Z. Noszticzius, 1996 .

Analysis of the electrolyte diode. Electro-diffusion and chemical reaction within a hydrogel reactor

P. Simon, Z. Noszticzius, J. Merkin, 2000 .

Large Matrices Arising in Traveling Wave Bifurcations

Peter L. Simon, P. Simon, 2009, LSSC.

Evans function analysis of the stability of non-adiabatic flames

S. Scott, P. Simon, J. Merkin, 2003 .

Micro-scale foundation with error quantification for the approximation of dynamics on networks

Jonathan A. Ward, R. Mann, P. Simon, 2022, Communications Physics.

Mathematics of Epidemics on Networks: From Exact to Approximate Models

Joel C. Miller, Péter L. Simon, Istvan Z. Kiss, 2017 .

Hierarchies of SIR models

Joel C. Miller, Péter L. Simon, Istvan Z. Kiss, 2017 .

Percolation-based approaches for disease modelling

Joel C. Miller, Péter L. Simon, Istvan Z. Kiss, 2017 .

Two-parameter Vilenkin multipliers and a square function

P. Simon, 2002 .

The impact of spatial and social structure on an SIR epidemic on a weighted multilayer network

I. Kiss, P. Simon, Á. Backhausz, 2022, Periodica Mathematica Hungarica.

Walsh Series, An Introduction to Dyadic Harmonic Analysis

W. R. Wade, Ferenc Schipp, William R. Wade, 1990 .

Identification of Criticality in Neuronal Avalanches: I. A Theoretical Investigation of the Non-driven Case

I. Kiss, L. Berthouze, P. Simon, 2012, Journal of mathematical neuroscience.

Hardy-Littlewood type inequalities for Vilenkin-Fourier coefficients

P. Simon, F. Weisz, 1998 .

Dynamic Control of Modern, Network-Based Epidemic Models

Péter L. Simon, Istvan Z. Kiss, Ádám Besenyei, 2014, SIAM J. Appl. Dyn. Syst..

Exact Equations for SIR Epidemics on Tree Graphs

I. Z. Kiss, K. J. Sharkey, R. R. Wilkinson, 2012, Bulletin of mathematical biology.

Bounds for the expected value of one-step processes pdf

Benjamin Armbruster, Péter L. Simon, Ádám Besenyei, 2015, ArXiv.

PDE approximation of large systems of differential equations

D'avid Kunszenti-Kov'acs, P. Simon, Andr'as B'atkai, 2013, 1303.6235.

The structure of flame filaments in chaotic flows

I. Kiss, S. Scott, P. Simon, 2002, nlin/0210076.

Modelling approaches for simple dynamic networks and applications to disease transmission models

Luc Berthouze, Istvan Z. Kiss, Timothy J Taylor, 2012, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Multiplicity for semilinear elliptic equations involving singular nonlinearity

P. Simon, J. Karátson, Jesús A. Hernández, 2006 .

On the Stability Properties of Nonnegative Solutions of Semilinear Problems with Convex or Concave Nonlinearity

P. Simon, J. Karátson, 2001 .

Bifurcations for semilinear elliptic equations with convex nonlinearity

P. Simon, J. Karátson, 1999 .

Stability Properties of Positive Solutions to Partial Differential Equations with Delay

P. Simon, G. Farkas, 2001 .

Exact multiplicity for degenerate two-point boundary value problems with p -convex nonlinearity

P. Simon, J. Karátson, 2003 .

On the linearized stability of positive solutions of quasilinear problems with p-convex or p-concave nonlinearity

P. Simon, J. Karátson, 2001 .

Oscillating epidemics in a dynamic network model: stochastic and mean-field analysis

Luc Berthouze, András Szabó-Solticzky, Istvan Z. Kiss, 2014, Journal of mathematical biology.

From Markovian to pairwise epidemic models and the performance of moment closure approximations

Thomas House, Istvan Z. Kiss, Darren M. Green, 2012, Journal of mathematical biology.

Oscillating epidemics in a dynamic network model: stochastic and mean-field analysis

I. Kiss, L. Berthouze, P. Simon, 2015, Journal of Mathematical Biology.

DETAILED STUDY OF BIFURCATIONS IN AN EPIDEMIC MODEL ON A DYNAMIC NETWORK

Istvan Z. Kiss, I. Kiss, P. Simon, 2012 .

Rotating chemical waves: theory and experiments

Zoltán Noszticzius, András Volford, P. Simon, 1999 .

Qualitative Properties of Conductive Heat Transfer

P. Simon, H. Farkas, I. Faragó, 2000 .

Simplification of complex EC and ECE type mechanisms when the intermediates take part in fast equilibrium type coupled reactions

P. Simon, G. Farsang, 1997 .

Detailed analytic study of the compact pairwise model for SIS epidemic propagation on networks

P. Simon, N. Nagy, 2018, Discrete & Continuous Dynamical Systems - B.

Bifurcation analysis of an oscillatory CNN model with two cells

B. Garay, P. Simon, 2008 .

Ornstein-Uhlenbeck approximation of one-step processes: a differential equation approach

P. Simon, E. Sikolya, 2016, 1609.04424.

Solvability of implicit final size equations for SIR epidemic models.

Subekshya Bidari, Dylanger S. Pittman, P. Simon, 2016, Mathematical biosciences.

On bounding exact models of epidemic spread on networks

I. Kiss, P. Simon, P'eter L. Simon, 2017, 1704.01726.

Propagation models on networks: bottom-up

Joel C. Miller, Péter L. Simon, Istvan Z. Kiss, 2017 .

Mapping out emerging network structures in dynamic network models coupled with epidemics

Joel C. Miller, I. Kiss, L. Berthouze, 2017 .

Geometric theory of trigger waves — A dynamical system approach

P. Simon, H. Farkas, 1996 .

A Retarded Differential Equation Model of Wave Propagation in a Thin Ring

Peter L. Simon, P. Simon, 2001, SIAM J. Appl. Math..

A note on the sunouchi operator with respect to the walsh—kaczmarz system

P. Simon, 2001 .

(L1,H)-type estimations for some operators with respect to the Walsh—Paley system

P. Simon, 1985 .

Two-parameter multipliers on hardy spaces

P. Simon, 1998 .

Weak inequalities for Cesàro and Riesz summability of Walsh-Fourier series

Ferenc Weisz, Péter Simon, P. Simon, 2008, J. Approx. Theory.

On the Cesaro Summability with Respect to the Walsh-Kaczmarz System

P. Simon, 2000 .

Strong Convergence Theorem for Vilenkin–Fourier Series☆

P. Simon, 2000 .

Strong convergence of certain means with respect to the Walsh-Fourier series

P. Simon, 1987 .

Remarks on strong convergence with respect to the Walsh system

P. Simon, 2000 .

Oscillating epidemics in a dynamic network model: stochastic and mean-field analysis

I. Kiss, L. Berthouze, P. Simon, 2014, Journal of Mathematical Biology.

The reversible LVA model

P. Simon, 1992 .

Differential equation approximations of stochastic network processes: An operator semigroup approach

Péter L. Simon, Istvan Z. Kiss, Eszter Sikolya, 2011, Networks Heterog. Media.

Approximate master equations for dynamical processes on graphs

Istvan Z. Kiss, I. Kiss, P. Simon, 2014 .

The effect of a radical scavenger on the propagation of flames in an exothermic-endothermic system

S. Scott, P. Simon, J. Merkin, 2005 .

Inhibition of flame propagation by an endothermic reaction

S. Scott, P. Simon, J. Merkin, 2003 .

Quenching of Flame Propagation Through Endothermic Reaction

S. Scott, P. Simon, J. Merkin, 2002 .