Nicolas Lanchier

PHYSICAL SCIENCES CENTER TEMPE, AZ 85287

Mail code: 1804Campus: Tempe

Most mathematical models introduced in the life and social sciences literature use equations (called differential equations) that only involve time and ignore the spatial structure of our environment. The spatial component, however, has been identified as an important factor in how communities are shaped, and spatial models can result in predictions that differ from their "timeonly" counterparts. The aim of Nicolas Lanchier's research is to understand the role of space in biological and social communities through the mathematical analysis of a class of stochastic processes known as interacting particle systems. Popular examples of such models are the contact process and the voter model.
Ph.D. University of Rouen, France 2005
Most mathematical models introduced in the life and social sciences literature that describe inherently spatial phenomena of interacting populations consist of systems of ordinary differential equations, thus leaving out any spatial structure. The spatial component, however, is identified as an important factor in how communities are shaped, and spatial models can result in predictions that differ from their nonspatial counterparts. The aim of my research is to understand the role of space in ecology, epidemiology, population genetics, opinion dynamics, cultural dynamics and evolutionary game theory through the mathematical analysis of a class of stochastic processes known as interacting particle systems. These processes are ideally suited to investigate the consequences of the inclusion of a spatial structure in the form of stochastic and local interactions. This includes generalizations of the contact process and the voter model in spatially heterogeneous environments but also on inhomogeneous graphs, hypergraphs, and dynamic graphs.
 Nicolas Lanchier. Evolutionary games on the lattice: payoffs affecting birth and death rates. Ann. Appl. Probab (2015).
 Nicolas Lanchier and Nicole Taylor. Galam's bottomup hierarchical system and public debate model revisited. Adv. Appl. Probab (2015).
 Nicolas Lanchier. The naming game in language dynamics revisited. J. Appl. Probab (2014).
 Nicolas Lanchier, Stylianos Scarlatos. Clustering and coexistence in the onedimensional vectorial Deffuant model. ALEA Lat. Am J. Probab. Math. Stat (2014).
 Stephen Evilsizor, Nicolas Lanchier. Evolutionary games on the lattice: bestresponse dynamics. Electron. J. Probab (2014).
 Nicolas Lanchier. Stochastic spatial model of producerconsumer systems on the lattice. Adv. Appl. Probab (2013).
 Nicolas Lanchier. The role of dispersal in interacting patches subject to an Allee effect. Adv Appl. Probab (2013).
 Nicolas Lanchier, Jared Neufer. Stochastic dynamics on hypergraphs and the spatial majority rule model. J. Stat. Phys (2013).
 Nicolas Lanchier, Stylianos Scarlatos. Fixation in the onedimensional Axelrod model. Ann. Appl. Probab (2013).
 Nicolas Lanchier. The Axelrod model for the dissemination of culture revisited. Ann. Appl. Probab (2012).
 Nicolas Lanchier. The critical value of the Deffuant model is equal to one half. ALEA Lat. Am. J. Probab. Math. Stat (2012).
 Nicolas Lanchier, Jason Schweinsberg. Consensus in the twostate Axelrod model. Stochastic Process. Appl (2012).
 Yun Kang, Nicolas Lanchier. The role of space in the exploitation of resources. Bull. Math. Biol (2012).
 Daniela Bertacchi, Nicolas Lanchier, Fabio Zucca. Contact and voter processes on the infinite percolation cluster as models of hostsymbiont interactions. Ann. Appl. Probab (2011).
 Nicolas Lanchier. Contact process with destruction of cubes and hyperplanes: forest fires versus tornadoes. Adv. Appl. Probab (2011).
 Nicolas Lanchier. Twoscale multitype contact process: coexistence in spatially explicit metapopulations. Markov Process. Related Fields (2011).
 Yun Kang, Nicolas Lanchier. Expansion or extinction: deterministic and stochastic twopatch models with Allee effects. J. Math. Biol (2011).
 Nicolas Lanchier. Opinion dynamics with confidence threshold: an alternative to the Axelrod model. ALEA Lat. Am. J. Probab. Math. Stat (2010).
 Nicolas Lanchier, Claudia Neuhauser. Stochastic spatial models of hostpathogen and hostmutualist interactions II. Stoch. Models (2010).
 Ben Chan, Rick Durrett, Nicolas Lanchier. Coexistence for a multitype contact process with seasons. Ann. Appl. Probab (2009).
 Nicolas Lanchier, Claudia Neuhauser. Spatially explicit nonMendelian model. Ann. Appl. Probab (2009).
 Lamia Belhadji, Nicolas Lanchier. Twoscale contact process and effects of habitat fragmentation on metapopulations. Markov Process. Related Fields (2008).
 Rick Durrett, Nicolas Lanchier. Coexistence in hostpathogen systems. Stochastic Process. Appl (2008).
 Nicolas Lanchier, Claudia Neuhauser. Voter model and biased voter model in heterogeneous environments. J. Appl. Probab (2007).
 Lamia Belhadji, Nicolas Lanchier. Individual versus cluster recoveries within a spatially structured population. Ann. Appl. Probab (2006).
 Nicolas Lanchier, Claudia Neuhauser. A spatially explicit model for competition among specialists and generalists in a heterogeneous environment. Ann. Appl. Probab (2006).
 Nicolas Lanchier, Claudia Neuhauser. Stochastic spatial models of hostpathogen and hostmutualist interactions I. Ann. Appl. Probab (2006).
 Nicolas Lanchier. Multitype contact process with frozen sites: a spatial model of allelopathy. J. Appl. Probab (2005).
 Nicolas Lanchier. Phase transitions and duality properties of a successional model. Adv. Appl. Probab (2005).
 Lanchier,Nicolas*. Stochastic spatial models of social dynamics. NSA(3/24/2015  3/23/2016).
 Lanchier,Nicolas*. Stochastic processes on hypergraphs and dynamic graphs. NSFMPS(8/15/2010  7/31/2014).
Courses
2022 Fall
Course Number  Course Title 

MAT 595  Continuing Registration 
APM 541  Stochastic Modeling in Biology 
APM 799  Dissertation 
MAT 792  Research 
APM 792  Research 
STP 421  Probability 
2022 Summer
Course Number  Course Title 

APM 792  Research 
APM 792  Research 
APM 792  Research 
MAT 595  Continuing Registration 
MAT 792  Research 
MAT 792  Research 
MAT 795  Continuing Registration 
2022 Spring
Course Number  Course Title 

APM 792  Research 
MAT 499  Individualized Instruction 
MAT 590  Reading and Conference 
APM 504  App. Prob. and Stochastic Proc 
STP 421  Probability 
MAT 493  Honors Thesis 
APM 799  Dissertation 
MAT 792  Research 
MAT 799  Dissertation 
APM 795  Continuing Registration 
MAT 584  Internship 
2021 Fall
Course Number  Course Title 

MAT 595  Continuing Registration 
APM 541  Stochastic Modeling in Biology 
APM 799  Dissertation 
MAT 792  Research 
APM 792  Research 
2021 Summer
Course Number  Course Title 

APM 792  Research 
APM 792  Research 
APM 792  Research 
MAT 792  Research 
MAT 792  Research 
MAT 595  Continuing Registration 
2021 Spring
Course Number  Course Title 

MAT 792  Research 
APM 795  Continuing Registration 
STP 499  Individualized Instruction 
MAT 799  Dissertation 
MAT 792  Research 
APM 799  Dissertation 
APM 792  Research 
STP 421  Probability 
APM 504  App. Prob. and Stochastic Proc 
MAT 590  Reading and Conference 
MAT 493  Honors Thesis 
2020 Fall
Course Number  Course Title 

APM 541  Stochastic Modeling in Biology 
MAT 595  Continuing Registration 
APM 799  Dissertation 
APM 792  Research 
MAT 792  Research 
2020 Summer
Course Number  Course Title 

MAT 595  Continuing Registration 
MAT 792  Research 
MAT 792  Research 
APM 792  Research 
APM 792  Research 
APM 792  Research 
2020 Spring
Course Number  Course Title 

MAT 792  Research 
APM 504  App. Prob. and Stochastic Proc 
MAT 493  Honors Thesis 
MAT 590  Reading and Conference 
APM 795  Continuing Registration 
APM 792  Research 
APM 799  Dissertation 
STP 499  Individualized Instruction 
2019 Fall
Course Number  Course Title 

MAT 792  Research 
APM 792  Research 
STP 421  Probability 
APM 799  Dissertation 
APM 541  Stochastic Modeling in Biology 
2019 Summer
Course Number  Course Title 

APM 792  Research 
APM 792  Research 
APM 792  Research 
2019 Spring
Course Number  Course Title 

STP 499  Individualized Instruction 
STP 492  Honors Directed Study 
APM 799  Dissertation 
APM 792  Research 
APM 504  App. Prob. and Stochastic Proc 
MAT 590  Reading and Conference 
MAT 493  Honors Thesis 
2018 Fall
Course Number  Course Title 

MAT 792  Research 
APM 792  Research 
STP 425  Stochastic Processes 
APM 799  Dissertation 
STP 493  Honors Thesis 
2018 Summer
Course Number  Course Title 

APM 792  Research 
APM 792  Research 
2018 Spring
Course Number  Course Title 

STP 499  Individualized Instruction 
STP 492  Honors Directed Study 
APM 799  Dissertation 
APM 792  Research 
APM 504  App. Prob. and Stochastic Proc 
MAT 493  Honors Thesis 
2017 Fall
Course Number  Course Title 

MAT 792  Research 
APM 792  Research 
STP 493  Honors Thesis 
APM 541  Stochastic Modeling in Biology 
STP 421  Probability 
 Nicolas Lanchier. Fluctuation versus fixation in the Axelrod model. Colloquium of the Mathematical and Theoretical Biology Institute (Jul 2014).
 Nicolas Lanchier. Fluctuation versus fixation in the constrained voter model. Institute of Mathematical Statistics Annual Meeting 2014, Sydney, Australia (Jul 2014).
 Nicolas Lanchier. Fluctuation versus fixation in the constrained voter model. 37th conference on Stochastic Processes and Their Applications, Buenos Aires, Argentina (Jul 2014).
 Nicolas Lanchier. Fluctuation versus fixation in the constrained voter model. Eight International Conference on Recent Advances in Applied Dynamical systems, Guilin, China (Jun 2014).
 Nicolas Lanchier. Fluctuation versus fixation in the Axelrod model. Mathematics Seminar of the College of Mathematics and Information Science, Wenzhou University, China (Jun 2014).
 Nicolas Lanchier. Fluctuation versus fixation in the Axelrod model. Mathematics Seminar at Zhejiang University of Science and Technology, China (Jun 2014).
 Nicolas Lanchier. Overview of the standard and constrained voter models. Advanced lecture of the Mathematical and Theoretical Biology Institute (Jun 2014).
 Nicolas Lanchier. Fluctuation versus fixation in the constrained voter model. Seminar of the School of Letters and Sciences, Arizona State University (Feb 2014).
 Nicolas Lanchier. Fluctuation versus fixation in the constrained voter model. Mathematical Biology seminar at Arizona State University, USA (Oct 2013).
 Nicolas Lanchier. Mathematics: numbers and shapes. Talk for the class of Kindergarten at the ASU Preparatory Academy (Sep 2013).
 Nicolas Lanchier. Poisson point processes and the exponential random variable. Advanced lecture of the Mathematical and Theoretical Biology Institute (Jun 2013).
 Nicolas Lanchier. Evolutionary games on the lattice. Advanced lecture of the Mathematical and Theoretical Biology Institute (Jun 2013).
 Nicolas Lanchier. Evolutionary games on the lattice. Seminar of the Computational Science Training for Undergraduates in the Mathematical Sciences (Feb 2013).
 Nicolas Lanchier. Fluctuation and fixation in the onedimensional Axelrod model. Applied Mathematics Colloquium and Mathematical Seminar at the University of Arizona (Jan 2013).
 Nicolas Lanchier. Fluctuation and fixation in the onedimensional Axelrod model. Workshop in Kinetic Theory for the Emergence of Complex Behavior in Social and Economic Systems (Jan 2013).
 Nicolas Lanchier. Stochastic spatial model of producerconsumer systems on the lattice. AMS meeting at the University of Arizona, USA (Oct 2012).
 Nicolas Lanchier. Flux and fixation in the onedimensional Axelrod model. Mathematical Biology seminar at Arizona State University, USA (Oct 2012).
 Nicolas Lanchier. Overview of the voter model. Seminar of the Mathematical and Theoretical Biology Institute at Arizona State University, USA (Jul 2012).
 Nicolas Lanchier. Flux and fixation in the Axelrod model. Seminar of the Mathematical and Theoretical Biology Institute at Arizona State University, USA (Jul 2012).
 Nicolas Lanchier. Overview of the voter model & Flux and fixation in the Axelrod model (2 x 3 hours). Summer Graduate Workshop on Stochastics Applied to Biological Systems at MBI, Ohio State, USA (Jun 2012).
 Nicolas Lanchier. Twostrategy games on the lattice. Workshop in Spatial Models of Micro and Macro Systems at the MBI, Ohio State, USA (Apr 2012).
 Nicolas Lanchier. Spatial evolutionary games. Probability seminar at Arizona State University, USA (Feb 2012).
 Lanchier, Nicolas. Twostrategy games on the lattice. Colloquium of the School of Geographical Sciences and Urban Planning at Arizona State University (Nov 2011).
 Lanchier, Nicolas. Twostrategy games on the lattice. Iowa State University Mathematics Colloquium, USA (Sep 2011).
 Lanchier, Nicolas. Twostrategy games on the lattice. Mathematical biology seminar, Arizona State University (Aug 2011).
 Lanchier, Nicolas. The Axelrod model for the dissemination of culture revisited. Seminar of the Mathematical and Theoretical Biology Institute at Arizona State University (Jul 2011).
 Lanchier, Nicolas. Stochastic dynamics on hypergraphs and the majority rule. Seminar of the Mathematical and Theoretical Biology Institute at Arizona State University (Jul 2011).
 Lanchier, Nicolas. The Axelrod model for the dissemination of culture revisited. Workshop in Probability at the Institute for Mathematical Sciences, Singapore (May 2011).
 Lanchier, Nicolas. Stochastic dynamics on hypergraphs and the majority rule. Seminar of the Institute for Mathematical Sciences, Singapore (May 2011).
 Lanchier, Nicolas. The Axelrod model for the dissemination of culture revisited. Iowa State University Mathematics Colloquium, USA (Apr 2011).
 Lanchier, Nicolas. The Axelrod model for the dissemination of culture revisited. Workshop of the Statistical and Applied Mathematical Sciences Institure, USA (Mar 2011).
 Lanchier, Nicolas. Geometric properties of the spatial majority rule model. AMS meeting in UCLA (Oct 2010).
 Lanchier, Nicolas. Stochastic dynamics on hypergraphs and the majority rule. Probability seminar, Arizona State University (Oct 2010).
 Lanchier, Nicolas. Geometric properties of the spatial majority rule model. 38th Annual Meeting of the Statistical Society of Canada, Quebec City, Canada (May 2010).
 Lanchier, Nicolas. Coexistence in spatially explicit metapopulations. XI Congreso Latinoamericano de Probabilidad y Estadistica Matematica, Caracas (Nov 2009).
 Lanchier, Nicolas. Coexistence in spatially explicit metapopulations. Mathematical biology seminar, Arizona State University (Sep 2009).
 Lanchier, Nicolas. Theoretical framework to model interacting population. Workshop, Palo Alto (May 2009).
 Lanchier, Nicolas. Coexistence in spatially explicit metapopulations. 33rd conference on Stochastic Processes and Their Applications, Berlin (May 2009).
 Lanchier, Nicolas. Coexistence in spatially explicit metapopulations. Probability seminar, University of San Diego (Mar 2009).
 Lanchier, Nicolas. Survival and coexistence in spatially explicit metapopulations. Second Congress Canada France (Jun 2008).
 Lanchier, Nicolas. Survival (and coexistence) in spatially explicit metapopulations. Seminar in mathematics at Arizona State University (Sep 2007).
 Lanchier, Nicolas. Individual versus cluster recoveries on social networks. Workshop on the mathematics of global public health (Mar 2007).
 Lanchier, Nicolas. Hostsymbiont interactions in static and dynamic environments. Seminar of the University of Minnesota (Nov 2006).
 Lanchier, Nicolas. Stochastic spatial models of hostsymbiont interactions: Static and dynamic environments. Seminar of the University of Orleans (Jun 2006).
 Lanchier, Nicolas. Stochastic spatial models of hostsymbiont interactions: Static and dynamic environments. Seminar in mathematics at Cornell University (Jan 2006).
 Lanchier, Nicolas. Competition among specialists and generalists in a heterogeneous environment. Seminar of the University of Rouen (Sep 2005).
 Lanchier, Nicolas. Individual versus cluster recoveries on a lattice of social clusters. Probability summer school of Cornell University (Jul 2005).
 Lanchier, Nicolas. Stochastic spatial models of hostpathogen and hostmutualist interactions. Workshop on probability of the University of Rouen (Jun 2005).
 Lanchier, Nicolas. Continuity result for multicolor particle systems. Seminar of the University of Minnesota (Apr 2005).
 Lanchier, Nicolas. Continuity result for multicolor particle systems. Seminar of the University of Rouen (Mar 2005).
 Lanchier, Nicolas. Stochastic spatial models of hostpathogen and hostmutualist interactions. Seminar of the University of Marseille (Mar 2005).
 Lanchier, Nicolas. Interacting particle systems and spatial structures. Seminar of the University of Rouen (Jun 2004).
 Lanchier, Nicolas. Phase transitions for the multitype contact processwith frozen sites. Seminar of the University of Rouen (Dec 2003).
 Lanchier, Nicolas. Phase transitions for an ecological succession model. Probability summer school of the University of Prague (Jul 2003).
 Lanchier, Nicolas. Phase transitions for an ecological succession model. Workshop on probability of the University of Rouen (Jun 2003).
 Lanchier, Nicolas. Phase transitions for an ecological succession model. Seminar of the University of Rouen (May 2003).
 Personnel and Budget Committee, Member (2015  2016)
 Research Assistant Professor Hiring Committee, Member (2015  2015)
 Actuarial Lecturer Hiring Committee, Member (2015  2015)
 Mathematics Colloquium Committee, Member (2013  2013)
 Organizer of the probability seminar, Organizer (2013  2013)
 Research Assistant Professor Hiring Committee, Member (2013  2013)
 SoMSS Advisory Committee on Statistics, Member (2013  2013)
 Probability and Statistics Hiring Committee, member (2009  2010)
 STP 421 qualifying exam committee, member (2009  2009)
 STP 421 qualifying exam committee, member (2008  2008)
 Probability Hirring Committee, member (2008  2008)
 STP 421 qualifying exam committee, member (2008  2008)
 Awards Committee, member (2007  2008)
 STP 421 qualifying exam committee, member (2007  2007)