Curriculum vitæ Alessandra Faggionato Rome, March 1st 2017

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1 Curriculum vitæ Alessandra Faggionato Rome, March 1st 2017 Part I - General Information Full Name: Alessandra Faggionato Date of Birth: November 21, 1974 Place of Birth: Udine Citizenship: Italian Permanent Address: Via Giovanni da Procida, Rome Mobile Phone Number: faggiona@mat.uniroma1.it Foreign Languages: English, German, French (basic) Part II - Education PhD: Year 2002, Ph.D. in Mathematics at the Scuola Normale Superiore in Pisa, 70/70 cum Laude. Ph.D. Thesis: Hydrodynamic Limit of a Disordered System, Supervisor Prof. F. Martinelli, University Roma Tre. University graduation: Year 1998, Laurea (Degree) in Mathematics at the University of Pisa, 110/110 cum Laude. Thesis: Physical models, Quantum Algebra and Yang-Baxter equation. Supervisors Prof. R. Benedetti, Prof. M. Mintchev. University of Pisa. Part III - Appointments IIIA Academic Appointments /..: Associate Professor in Probability and Mathematical Statistics MAT/06, Department of Mathematics, University La Sapienza / : Researcher, Department of Mathematics, University La Sapienza / : Post-Doc, Weierstrass Institut for Applied Analysis and Stochastics, Berlin / : Post-Doc, Department of Mathematics, Technical University of Berlin / : Research collaborator, Department of Mathematics, University Roma Tre Motherhood pause (congedo di maternità): May/September 2007, March/July 2011 (two children) IIIB Other Appointments 2015: one month contract as Visiting Professor at the University of Nanterre, Paris. 2009: one month contract as Visiting Professor at the University of Paris VII, Paris. 1

2 2 2007: one month contract as Visiting Maitre de Conference, Centre de Mathématiques et d Informatique, Marseille. Part IV - Teaching experience Mathematical Statistics, Department of Mathematics, La Sapienza, Year 2016 Probability, Department of Informatics, La Sapienza, Year 2005, 2006, 2007, 2013, 2014, 2015, 2016 Mathematics I (Istituzioni di Matematica), Department of Geology, La Sapienza, Year 2015 Ph.D. course Kinetically constrained models and coarsening, Centre International de Rencontres Mathématiques, Year Mathematics I (Istituzioni di Matematica), Department of Stastistics, La Sapienza, Year 2013 Probability, Department of Mathematics, La Sapienza, Year 2011, 2012 Stochastic Processes, Department of Mathematics, La Sapienza, Year 2008, 2009, 2010 Point processes, Program Percorso d Eccellenza, Department of Mathematics, La Sapienza, Year Electrical networks and random walks, Program Percorso d Eccellenza, Department of Mathematics, La Sapienza, Year 2007, Ph.D. course Interacting particle systems, Department of Mathematics, La Sapienza, Year 2005 Part V - Awards and Honors 2005, Winner of the borsa di eccellenza internazionale Francesco Severi, Indam (Italian Institute of High Mathematics) 1993, Classified among the first 6 students at the Italian Competitions in Mathematics and participation to the International Competitions in Mathematics in Istanbul as part of the Italian team. Part VI - Funding Information [grants as PI-principal investigator or I-investigator] 2017/2019: Local investigator for the Unity of Rome La Sapienza of the National Project PRIN High Dimensional Random Structures. Grant value for the Unity of Rome La Sapienza: euros. 2015: Short visit grant of the European Science Foundation in the framework of the activity entitled Random Geometry of Large Interacting Systems and Statistical Physics. Grant value: euros. 2010/2015: Principal investigator of La Sapienza Grant (fondo di ateneo) Stochastic models and their applications to Physics and Finance. Grant value: euros.

3 3 2011/2013: Local investigator for the Unity of Rome La Sapienza of the National Project PRIN Physical applications of random fields. Grant value for the Unity of Rome La Sapienza: euros. Part VII - Research Activities My research concerns stochastic processes, often modelling physical or biological systems. Below I report my main contributions for research subjects, the enumeration of articles is the same of the list in Part VIII. Kinetically constrained models and glassy systems. Kinetically constrained models are interacting particle systems introduced in the physics literature to model the liquid-glass transition and more generally glassy dynamics (still a very intriguing puzzle in theoretical physics). Differently from spin glasses, kinetically constrained models have no energetic disorder and equilibration is slowed down by purely dynamical mechanisms. Due to the very slow dynamics, even computer simulations have revealed not very reliable, thus making rigorous mathematical results very appealing and useful for theoretical physicists. In [5], [6], [10], [13], [14], [17] and [18] we have studied much in detail a special class (but very representative) of kinetically constrained models given by the (1d) East model and its generalisations to higher dimension. I point out that [18] represents the unique mathematical paper where aging of an interacting particle system is derived and analysed. Between other results, in [13] we have disproved the physical conjecture of timescale separation in the East model and in [6] we have disproved the physical conjecture that the generalized East process in higher dimension is indeed almost one dimensional. Coalescence processes. Several models have been introduced in the physics literature to study the nonequilibrium coarsening dynamics of one-dimensional systems. It is remarkable that models, also with very different coarsening mechanisms, have similar limiting behavior. In [21] we have indeed been able to give a full explanation of the emergence of classes of universality, introducing and analysing a new class of 1d coalescence processes (called hierarchical coalescence processes ) and their scaling properties. This method has been extended in [12] and has been applied to the East model in [18]. Hydrodynamic behavior of interacting particle systems in random environment. I derived the hydrodynamic limit of several classes of interacting particle systems (exclusion processes, zero range processes) on the regular lattice Z d or the supercritical percolation cluster, with random disorder (cf. [23], [26], [32], [33], [37]). As result of the research done during my PhD, in [37] (published in 2003) we have derived the hydrodynamic limit for the exclusion process on Z d, d 3, with site disorder. The same result had been announced without proof by Quastel and Yau in I also point out that paper [26] has been the first one analysing the hydrodynamic behavior of a subdiffusive interacting particle systems, described by a singular diffusion. Mott variable range hopping. Phonon-assisted electron transport in disordered solids in which the Fermi level lies in a region of strong Anderson localization can be modeled by the so called Mott variable-range hopping. In the mean field approximation, the electron hopping corresponds to a random walk (that we called Mott random walk) on the sites of a random marked point process, whose jump rates decay exponentially in the jump length

4 4 and depend on the energy marks via a Boltzmann type factor. In [1], [16], [25], [28], [31], [34], [35] we have derived several properties of Mott random walk and other random walks with long jumps (diffusivity/subdiffusivity, balisticity, transience/recurrence, mixing times,..). In particular, in [25], [31], [35] we have given a rigorous derivation of upper and lower bounds on the diffusion constant at low temperature, which are in agreement with the physical Mott law. This law is indeed based on an heuristic argument, which strictly speaking leads only to a lower bound on the diffusion constant. Large deviations for empirical measure, current and flow and fluctuation theorems. In [7], [8], [11], [15], [19] we have studied large deviation principles for several Markov processes. Special attention has been devoted to the large deviations of the empirical measure, current and flow. In [8] we have presented general large deviations principles for the above empirical objects for the class of Markov chains with countable state space, and we have derived from these results the Gallavotti Cohen symmetry for the entropy production rate. This symmetry is a special case of the so called fluctuation theorems, that we have investigated both in the general setting of Markov chains and in a large class of discrete kinetic models for molecular motors (cf. [2], [3], [9], [22]). Piecewise deterministic Markov processes. Motivated by biophysical applications, in [24] and [29] we have studied piecewise deterministic Markov processes (PDMPs), described by a continuous variable performing piecewise deterministic dynamics and by a discrete variable evolving by stochastic jump dynamics. The two resulting evolutions are fully coupled. The novelty and originality of our approach (especially in [29]) is that we have applied several ideas of non equilibrium statistical physics. In particular, [29] has inspired several mathematical investigations concerning PDMPs. Random walks in random statistic and in random dynamic environment. In addition to Mott random walk, I have studied several random walks in random environment [20], [30], [32], [36]. Between other, in [30] and [36] I have analysed the spectral properties of two well known subdiffusive random walks in random environment, given by Sinai walk and the REM like random walk. The analysis of Sinai walk has motivated the theoretical work on h extrema of drifted Brownian motion [27]. In the submitted preprint [1] we have developed a general theory for random walks in a random dynamic environment based on perturbation theory. Applications of this approach have been obtained in [4]. Coworkers: L. Avena (Leiden), L.Bertini (Rome), O. Blondel (Lyon), A. Bovier (Bonn), P. Caputo (Rome), P. Chleboun (Warwick), D. Di Pietro (Rome), D. Gabrielli (L Aquila), N. Gantert (Munich), A. Gaudillière (Marseille), D.M. Jara (Rio de Janeiro), C. Landim (Rio de Janeiro), F. Martinelli (Rome), P. Mathieu (Marseille), T. Prescott (North Dakota), M. Ribezzi Crivellari (Barcellona), C. Roberto (Paris), M. Salvi (Paris), H. Schulz Baldes (Nurnberg), V. Silvestri (Cambdrige), D. Spehner (Grenoble), C. Toninelli (Paris). Part VIII - Summary of Scientific Achievements Publications: (1) A. Faggionato, N. Gantert, M. Salvi. The velocity of 1d Mott variable range random walk with external field. Ann. Inst. H. Poincaré Probab. Statist. To Appear. (2) A. Faggionato, V. Silvestri. Fluctuation theorems for discrete kinetic models of molecular motors. J. Stat. Mech.: theory and experiments. To appear.

5 5 (3) A. Faggionato, V. Silvestri. Random walks on quasi one dimensional lattices: large deviations and fluctuation theorems. Ann. Inst. H. Poincaré Probab. Statist. 53, (2017). (4) L. Avena, O. Blondel, A. Faggionato, A class of random walks in reversible dynamic environment: antisymmetry and applications to the East model. J. Stat. Phys. 165, 1 23 (2016). (5) P. Chleboun, A. Faggionato, F. Martinelli. Mixing time and local exponential ergodicity of the East-like process in Z d. Annals of Mathematics of Toulouse. Special Issue in Honor of P. Diaconis. Vol. XXIV n.4, (2015). (6) P. Chleboun, A. Faggionato, F. Martinelli. Relaxation to equilibrium of generalized East processes on Z d : renormalization group analysis and energy entropy competition. Ann. Probab. 44, n.3, (2016). (7) L. Bertini, A. Faggionato, D. Gabrielli. Flows, currents, and cycles for Markov Chains: large deviation asymptotics. Stochastic Processes and their Applications 125, (2015). (8) L. Bertini, A. Faggionato, D. Gabrielli. Large deviations of the empirical flow for continuous time Markov chains. Ann. Inst. H. Poincaré Probab. Statist. 51, (2015). (9) A. Faggionato, V. Silvestri. Discrete kinetic models for molecular motors: asymptotic velocity and gaussian fluctuations. Journal of Statistical Physics, (2014). (10) P. Chleboun, A. Faggionato, F. Martinelli. The influence of dimension on the relaxation process of East like models: Rigorous results. Europhysics Letters 107, (2014). (11) L. Bertini, A. Faggionato, D. Gabrielli. From level 2.5 to level 2 large deviations for continuous time Markov chains. Markov Processes and Related Fields, 20, (2014). (12) A. Faggionato, C. Roberto, C. Toninelli. Universality for one-dimensional hierarchical coalescence processes with double and triple merges. Ann. Appl. Probab. 24, (2014). (13) P. Chleboun, A. Faggionato, F. Martinelli. Time scale separation and dynamic heterogeneity in the East model. Commun. Math. Phys. 328, (2014). (14) P. Chleboun, A. Faggionato, F. Martinelli. Time scale separation and dynamic heterogeneity in the East model. Journal of Statistical Mechanics: Theory and Experiment. L04001 (2013). (15) L. Bertini, A. Faggionato, D. Gabrielli. Large deviation principles for nongradient weakly asymetric stochastic lattice gases. Ann. Appl. Probab. 23, 1 65 (2013). (16) P. Caputo, A. Faggionato, T. Prescott. Invariance principle for Mott variable range hopping and other walks on point processes. Ann. Inst. H. Poincaré Probab. Statist (2013). (17) A. Faggionato, F. Martinelli, C. Roberto, C. Toninelli. The East model: recent results and new progresses, Markov Processes and Related Fields 19, (2013). (18) A. Faggionato, F. Martinelli, C. Roberto, C. Toninelli. Aging Through Hierarchical Coalescence in the East Model. Comm. in Math. Phys. 309, (2012). (19) A. Faggionato, D. Gabrielli. A representation formula for large deviations rate functionals of invariant measures on the one dimensional torus. Annales de l Institut Henri Poincaré (B) Probabilités et Statistiques 48, (2012).

6 6 (20) A. Faggionato. Spectral analysis of 1D nearest neighbor random walks with applications to subdiffusive random trap and barrier models. Electron. J. Probab. 17, 1 36 (2012) (21) A. Faggionato, F. Martinelli, C. Roberto, C. Toninelli. Universality in one dimensional hierarchical coalescence processes. Annals of Probability 40, (2012). (22) A. Faggionato, D. Di Pietro. Gallavotti Cohen Type symmetry related to cycle decompositions for Markov chains and biochemical applications. J. Stat. Phys. 143, (2011). (23) A. Faggionato. Hydrodynamic limit of zero range processes among random conductances on the supercritical percolation cluster. Electron. J. Probab. 15, (2010). (24) A. Faggionato, D. Gabrielli, M. Ribezzi. Averaging and large deviation principles for fully coupled piecewise deterministic Markov processes. Markov Processes and Related Fields 16, (2010). (25) P. Caputo, A. Faggionato. Diffusivity of 1 dimensional generalized Mott variable range hopping. Ann. Appl. Probab. 19, (2009). (26) A. Faggionato, D.M. Jara, C. Landim. Hydrodynamic behavior of 1D subdiffusive exclusion processes with random conductances. Probab. Theory Relat. Fields 144, (2009). (27) A. Faggionato. The alternating marked point process of h-slopes of the drifted Brownian motion. Stochastic processes and their applications 119, (2009). (28) P. Caputo, A. Faggionato, A. Gaudillière. Recurrence and transience for a random walk on a random point process. Electron. J. Probab. 14, (2009). (29) A. Faggionato, D. Gabrielli, M. Ribezzi Crivellari. Non-equilibrium thermodynamics of piecewise deterministic Markov processes. J. Stat. Phys. 137, (2009) (30) A. Bovier, A. Faggionato. Spectral analysis of Sinai s walk for small eigenvalues. Annals of Probability 36, (2008). (31) A. Faggionato, P. Mathieu. Mott law as upper bound for a random walk in a random environment. Comm. Math. Phys. 281, (2008). (32) A. Faggionato. Random walks and exclusion processes among random conductances on random infnite clusters: homogenization and hydrodynamic limit. Electron. J. Probab. 13, (2008). (33) A. Faggionato. Bulk diffusion of 1D exclusion process with bond disorder. Markov Processes and Related Fields 13, (2007). (34) P. Caputo, A. Faggionato. Isoperimetric inequalities and mixing time for a random walk on a random point process. Ann. Appl. Probab. 17, (2007). (35) A. Faggionato, H. Schulz Baldes, D. Spehner. Mott law as lower bound for a random walk in a random environment. Comm. Math. Phys. 263, (2006). (36) A. Bovier, A. Faggionato. Spectral characterization of ageing: the REM-like trap model. Ann. Appl. Probab. 15, no. 3, (2005). (37) A. Faggionato, F. Martinelli. Hydrodynamic limit of a disordered lattice gas. Probab. Theory and Related Fields. 127, (2003). Preprint:

7 7 (1) L. Avena, O. Blondel, A. Faggionato. L 2 perturbed Markov processes and applications to random walks in dynamic random environments. Submitted. Reports: (1) A. Faggionato. Mott law as lower bound for a random walk in a random environment in Large Scale Stochastic Dynamics, Mathematisches Forschungsinstitut Oberwolfach, Report No. 43/2004, pages (2004). (2) A. Faggionato. Universality in one dimensional hierarchical coalescence processes in Large Scale Stochastic Dynamics, Mathematisches Forschungsinstitut Oberwolfach, Report No. 50/2010, pages (2010). Part IX - Further Activities Referee activity for the following journal: Annals of Applied Probability, Annales de l Institut Henri Poincaré, ALEA, Communications in Mathematical Physics, Electronic Journal of Probability, Journal of Applied Probability, Journal of Statistical Mechanics: Theory and Experiment, Potential Theory, Stochastic Processes and their Applications, Journal of Statistical Physics, Random Structures and Algorithms From 2015 I am Member of the Committee for the PhD School in Mathematics at the Department of Mathematics, University La Sapienza, Rome. From 2007 to 2009 I have been Member of the Committee for the Percorso d Eccellenza, providing additional short courses to selected studentes. Part X - Invited Talks (1) November 2016: Workshop Large Scale Stochastic Dynamics, Oberwolfach Institute of Mathematics MFO, Oberwolfach (Germany) (2) June 2016: Workshop Rencontres de mécanique statistique, Paris (France) (3) April 2016: Department of Mathematics, Université Claude Bernard, Lyon (France) (4) January 2016: Workshop Mathematics of kinetically constrained dynamics and metastability, Warwick (UK) (5) October 2015: Workshop 2e Rencontre Nicois, Nice (France) (6) July 2015: Workshop Women in Probability, echnical University, Munich (Germany) (7) March 2015: Workshop Random walk in random environment, Eurandom Center, Eindhoven (The Neatherlands) (8) January 2015: Department of Mathematics, Technical University, Munich (Germany) (9) October 2014: Workshop Percolation and the Glass Transition: Kinetically- Constrained Models, Bootstrap Percolation, Mixed-Order Phase Transitions, and Large Deviations, Tel Aviv (Israel) (10) July 2014: Workshop Glassy Systems and Constrained Stochastic Dynamics, Warwick (UK) (11) February 2014: Technical University of Munich (Germany) (12) October 2013: Workshop Large Scale Stochastic Dynamics, Oberwolfach Institute of Mathematics MFO, Oberwolfach (Germany)

8 8 (13) July 2013: Workshop Women in Probability, Munich (Germany) (14) May 2013: Workshop Piecewise Deterministic Markov Processes, Centre Henri Lebesgue, Rennes (France) (15) August 2012: Workshop Interacting Particle Systems and Related Topics, Florence (Italy) (16) October 2012: Centre de Mathématiques et d Informatique, Marseille (France) (17) January 2011: Workshop Inhomogeneous random systems, IHP, Paris (France) (18) January 2011: Laboratoire de Probabilités et Modèles Aléatoires, University of Paris VII, Paris (France) (19) November 2010: Workshop Large Scale Stochastic Dynamics, Oberwolfach Institute of Mathematics MFO, Oberwolfach (Germany) (20) January 2010: Workshop Stochastic Analysis, SPDEs, Particle Systems, Optimal Transport, Levico Terme, Trento (Italy) (21) July 2009: Conference Stochastic Processes and Applications (invited session), Berlin (Germany) (22) February 2009: Workshop Sviluppi recenti di Fisica Matematica dell area romana, L Aquila (Italy) (23) Giugno 2008: Workshop Stochastic models in Physics, Florence (Italy) (24) March 2008: Workshop GREFI-MEFI 2008 From dynamical systems to statistical mechanics, CIRM, Marseille (France) (25) October 2006: Workshop Microscopic Approaches to Elastic and Surface Tension Functionals, Rome (Italy) (26) October 2006: Workshop Dynamical Systems: Classical, Quantum and Stochastic, Rome (Italy) (27) September 2006: Workshop Mathematical Physics Days, Leuven (The Neatherlands) (28) July 2006: Centre de Mathématiques et d Informatique, Marseille (France) (29) June 2006: Workshop Hydrodynamic limits and Particle Systems, Pisa (Italy) (30) June 2006: Workshop Stochastic models in Physics, Florence (Italy) (31) November 2005: Humboldt University, Berlin (Germany) (32) June 2005: Department of Mathematics, University La Sapienza, Rome (Italy) (33) May 2005: Department of Mathematics, University Roma Tre (Italy) (34) May 2005: Department of Mathematics, University of L Aquila (Italy) (35) November 2004: Workshop Mathematics of random spatial models from physics and biology, ESI, Wien (Austria) (36) September 2004: Workshop Large Scale Stochastic Dynamics, Oberwolfach Institute of Mathematics MFO, Oberwolfach (Germany) (37) May 2004: Department of Mathematics, University of Eindhoven (The Neatherlands) (38) April 2004: Confererence Equilibrium and Dynamics on Spin Glasses, Ascona (Switzerland) (39) February 2004: Workshop Mathematics of random spatial models from physics and biology, Eurandom Center, Eindhoven (The Neatherlands) (40) November 2003: Department of Mathematics, Technical University of Berlin (Germany) (41) October 2003: Workshop Mathematics of random spatial models from physics and biology, Bielefeld (Germany) (42) June 2003: Workshop Rencontres de Probabilités, Rouen (France)

9 9 (43) October 2002: Workshop Stochastic Models from Statistical Physics III, Eurandom Center, Eindhoven (The Neatherlands) (44) September 2002: Workshop COFIN 2002 Dynamical Systems: Classical, Quantum and Stochastic. Serra degli Alimini, Otranto, (Italy) (45) June 2002: Department of Mathematics, University Irchel of Zurich (Switzerland) Selected future invited talks: (1) February 2018: Workshop Interplay of Analysis and Probability in Applied Mathematics, Oberwolfach Institute of Mathematics MFO, Oberwolfach (Germany) (2) July 2017: Workshop Markov Processes, Mixing Times and Cutoff, Durham (UK) (3) June 2017: Workshop Stochastic Dynamics Out of Equilibrium, Institut H. Poincaré, Paris (France) Roma, 1 Marzo 2017 Alessandra Faggionato