Prof. Dmitry Ioffe

Statistics

Overview

Dima Ioffe received an  M.Sc. in  System Engineering  from Moscow Mining Institute. Shortly after his repatriation to Israel in 1987, he joined the graduate program at the Department of Mathematics, Technion, from which he received a D.Sc. degree in Mathematics. Following his graduation in 1991, he held visiting positions at UC Davis (1991-92), Courant Institute at the NYU (1992-93) and Northwestern University (1993-95). In 1995, he joined the group "Interacting Random Systems" at the Weierstrass Institute of Applied Mathematics and Stochastics in Berlin. He returned to Israel in 1997 to assume a position at the Faculty of Industrial Engineering and Management, Technion.

Selected Publications

Ioffe, D and Velenik, Y., Low temperature interfaces: Prewetting, layering, faceting and Ferrari-Spohn diffusions, preprint.

Ioffe, D, Velenik, Y. and Wachtel, V. Dyson Ferrari-Spohn diffusions and ordered walks under area tilts, preprint.

Duminil-Copin, H.,  Ioffe, D. and Velenik, Y. (2016),  A quantitative Burton-Keane estimate under strong FKG condition, Annals of Probability 2016, 44, 5, 3335--3356.

 Ioffe, D. (2015),  Multidimensional random polymers: A renewal approach,  in Random Walks, Random Fields, and Disordered Systems, Biskup, M., Cerny, J. and Kotecky, R.   editors, LNM 2144, Springer.

 Ioffe, D., Shlosman, S. and Toninelli, F.L. (2015), Interaction versus entropic repulsion for low temperature Ising polymers,  J. Stat. Phys. 158, 5, 1007–1050.

  Ioffe, D., Shlosman. S. and Velenik, Y. (2015), An invariance principle to Ferrari-Spohn diffusions,  Comm. Math. Phys. 336, 2, 905--932.

  Coquille, L., Duminil-Copin, H., Ioffe, D. and Velenik, Y. (2014), On the Gibbs state of the noncritical Potts model on Z2, Prob. Theor. Rel. Fields. 158, 1-2, 477–512. 

  Ioffe, D. and Levit, A. (2013),Ground states for mean field models with a transverse component, J. Stat. Phys. 151, 6, 1140–1161.

  Ioffe, D. and Velenik, Y. (2013), An almost sure CLT for stretched polymers, EJP. 18, 97, 1–20.

  Friedli, S. Ioffe, D. and Velenik, Y. (2013),Subcritical percolation with a line of defects, Ann.Prob. 41, 3B, 2013–2046. 

  Ioffe, D. and Velenik, Y. (2012), Self-attracting random walks: The case of critical drifts, Comm. Math. Phys.. 313, 209–235.  

  Ioffe, D. and Velenik, Y. (2012), Stretched polymers in random environment, in Probability in Complex Physical Systems, in honour of E. Bolthausen and J. Gartner, J.-D. Deuschel et al. (eds), Springer Proceedings in Mathematics 11, 339–369.

  Ioffe, D. and Velenik, Y. (2012), Crossing random walks and stretched polymers at weak disorder, Ann.Prob. 40, 2, 714–742.

  Bianchi, A., Bovier, A. and Ioffe, D. (2012), Pointwise estimates and exponential laws in metastable systems via coupling methods, Ann.Prob.40, 1, 339–371.

  Ioffe, D. and Velenik, Y. (2010), The statistical mechanics of stretched polymers, Braz. J. Probab. Stat. 24, 2, 279–299.

  Campanino, M., Ioffe, D. and Louidor, O. (2010), Finite connections for supercritical Bernoulli bond percolation in 2D, Mark. Proc. Rel. Fields16, 225–266. 

 Crawford, N. and Ioffe, D. (2010), Random Current Representation for Transverse Field Ising Model, Comm. Math. Phys. 296, 2, 447–474.

 Bianchi, A., Bovier, A. and Ioffe, D. (2009), Sharp Asymptotics for Metastability in the Random Field Curie-Weiss Model, EJP 14, 1541–1603.

  Ioffe, D. (2009), Stochastic Geometry of Classical and Quantum Ising Models, in Methods of Contemporary Mathematical Statistical Physics, R. Kotecky editor, LNM 1970, 87–126, Springer.

  Chayes, L., Crawford, N., Ioffe, D. and Levit, A. (2008), The Phase Diagram of the Quantum Curie-Weiss Model,

  Ioffe, D. and Velenik, Y. (2008), Ballistic Phase of Self-Interacting Random Walks, Analysis and Stochastics of Growth Processes and Interface Models, 55–79, Morters, P., Moser, R., Penrose, M., Schwetlick, H. and Zimmer, J. editors, Oxford University Press.

  Ioffe, D. and Shlosman, S. (2008), Ising model fog drip: the first two droplets, In and Out of Equilibrium 2, Progress in Probability 60, 365–382, Birkhauser.

  Campanino, M., Ioffe, D. and Velenik, Y. (2008),Fluctuation theory of connectivities for subcritical random cluster models, Ann. Prob. 36, 4, 1287–1321.

 Ioffe, D., Levit, A. (2007), Long range order and giant components of quantum random graphs,  13, 3, 469–492.

  Ioffe, D., Velenik, Y. and Zahradnik, M. (2006), Entropy-driven phase transition in a polydisperse hard-rods lattice system, J. Stat. Phys. 122, 4, 761–786.

  Greenberg, L. and Ioffe, D. (2005), On an invariance principle for phase separation lines, Ann. Inst. H. Poinc. Probab. Statist. 45, 871–885.

  Bodineau, Th. and Ioffe, D. (2004),Stability of interfaces and stochastic dynamics in the regime of partial wetting, Ann. Inst. H. Poinc. Theor. Physics, 5, 871–914.

  Campanino, M., Ioffe, D. and Velenik, Y. (2004), Random path representation and sharp correlations asymptotics at high-temperatures, Stochastic analysis of large scale interacting systems, Adv. Stud. Pure Math., 39, 29–52, Math. Soc. Japan, Tokyo.

  Caputo, P. and Ioffe, D. (2003), Finite volume approximation of the effective diffusion matrix: the case of independent bond disorder, Ann. Inst. H. Poinc. Probab. Statist. 39, 3, 505–525.

  Campanino, M., Ioffe, D. and Velenik, Y. (2003), Ornstein-Zernike theory for finite range Ising models above Tc 125, 305–349.

  Campanino, M. and Ioffe, D. (2002) , Ornstein-Zernike theory the Bernoulli bond percolation on Zd, Annals Prob. 30, 2, 652–682.

  Ioffe, D., Shlosman, S. and Velenik, Y. (2002),2D models of statistical physics with continuous symmetry: the case of singular interactions, Comm. Math. Phys. 226, 433–454.

  Ioffe, D. (2002),A note on the quantum version of the Widom-Rowlinson model. 106, 1-2, 375–384.

  Bodineau, Th., Ioffe, D. and Velenik, Y. (2001), Winterbottom construction for finite range ferromagnetic models: an L1-approach, J. Stat. Phys.,105, 1-2, 93–131.

  Bodineau, Th., Ioffe, D. and Velenik, Y. (2000), Rigorous probabilistic analysis of equilibrium crystal shapes, J. Math. Phys., 41, 1033–1098.

  Deuschel, J-D., Giacomin, G. and Ioffe, D. (2000), Large deviation and concentration properties for a class of nabla phi interface models, Prob. Theor. Rel. Fields. 117, 1, 49–111.

  Ioffe, D. and Velenik, Y. (2000), A Note on the Decay of Correlations Under δ-Pinning, Prob. Theor. Rel. Fields. 116, 379–389.

  Ioffe, D. (1998), Ornstein-Zernike behaviour and analyticity of shapes for self-avoiding walks on Zd, Mark. Proc. Rel. Fields, 4, 323–350.

  Ioffe, D. and Schonmann, R. (1998), Dobrushin-Kotechy-Shlosman theorem up to the critical temperature , Comm. Math. Phys.199, 117–167.

  Bolthausen, E. and Ioffe, D. (1997), Harmonic crystal on the wall: A microscopic approach, Comm. Math. Phys. 187 (3), 523–566.

  Ioffe, D. (1996), Extremality of the disordered state for the Ising model on general trees, Progress in Probability 40, editors B. Chauvin, S. Cohen and A. Rouault, Birkhauser, 3–14.

  Ioffe, D. (1996), On the extremality of the disordered state for the Ising model on the Bethe lattice, Letters in Mathematical Physics,  37, 137-143.

 Ioffe, D. (1995), Exact large deviation bounds up to Tc for the Ising model in two dimensions, Probability Theory and Related Fields 102, 313–330.

  Ioffe, D. (1994), Large deviations for the 2D Ising model: a lower bound without cluster expansions, J. Stat. Phys., 74, 411–432.

  Ioffe, D. and Pinsky, R.G. (1994), Positive harmonic functions vanishing on the boundary for the Laplacian in unbounded horn-shaped domains,. 342, 773–791.

  Ioffe, D. (1991), On some applicable versions of abstract large deviation theorems, Ann. Prob., 19, 1629–1639.

Research

Limit theorems of Probability theory; applications to classical and quantum Statistical Mechanics. Phase segregation, large-scale interacting particle systems. Polymers in random environment. Random perturbations of dynamical systems, metastability and homogenization
Stochastic geometry of classical and quantum models of statistical mechanics.
Phase transitions, phase segregation, interacting particle systems, metastability.
Percolation, polymers and random walks in a random environment.

Contact Info

Room 305 Bloomfield Building
+972-4-829-4413