• dynamical systems: ergodic theory, statistical properties of dynamical systems, systems with symmetry
• stochastic processes
• operator algebras

One of my current interests is the area of Dynamical Systems, in particular: rigidity of group actions on manifolds, cohomology of hyperbolic actions, ergodic theory, statistical properties of dynamical systems, systems with symmetry.
I am also studying stochastic processes that can be used to model complex systems.

• Ph.D.: Pennsylvania State University, 1995
• M.S.: University of Bucharest, Romania, 1986
• B.S.: University of Timisoara, Romania, 1985

• 2008 - present: Professor, University of Houston
• 2003 - 2008: Associate Professor, University of Houston
• 1999 - 2003: Assistant Professor, University of Houston
• 1995 - 1999: Instructor, Princeton University
• 1990 - 1995: Teaching Assistant, Pennsylvania State University
• 1988 - 1990: Research Associate, INCREST (now Institute of Mathematics of the Romanian Academy), Bucharest, Romania
• 1986 - 1988: Teacher, High School Mathematics, Tîrgoviste, Romania

• G. Gunaratne, M. Nicol, L. Seeman, A. Török
  Clustering of volatility in variable diffusion processes (pdf)
  to appear in Physica A
• I. Melbourne, V. Nitica, A. Török
  Transitivity of Euclidean-type extensions of hyperbolic systems (pdf)
  to appear in Ergodic Theory and Dynamical Systems
• M. Holland, M. Nicol, A. Török
  Extreme value distributions for non-uniformly hyperbolic dynamical systems (pdf)
  to appear in Trans. AMS
• M. Field, I. Melbourne, A. Török
  Stability of mixing and rapid mixing for hyperbolic flows (pdf)
  Annals of Mathematics 166 (2007), 269-291
• M. Nicol, A. Török
  Whitney regularity for solutions to the coboundary equation on Cantor sets (pdf),
  Mathematical Physics Electronic Journal 13 (2007)
• I. Melbourne, V. Nitica, A. Török
  A note about stable transitivity of noncompact extensions of hyperbolic systems (pdf)
  Discrete and Continuous Dynamical Systems 14 (2006), 355-363
• K. Josić, A. Török
  Network architecture and spatio-temporally symmetric dynamics (pdf)
  Physica D: Nonlinear Phenomena 224 (Special Issue: Dynamics on Complex Networks and Applications) (2006), 52-68
• A. L. Alejandro-Quiñones, K. E. Bassler, M. Field, J. L. McCauley, M. Nicol, I. Timofeyev, A. Török, G. H. Gunaratne
  A theory of fluctuations in stock prices (pdf)
  Physica A: Statistical Mechanics and its Applications 363 (2006), 383-392
• I. Melbourne, V. Nitica, A. Török
  Stable transitivity of certain noncompact extensions of hyperbolic systems (pdf)
  Annales Henri Poincaré 6 (2005), 725-746
• G. H. Gunaratne, J. L. McCauley, M. Nicol, A. Török
  Variable step random walks and self-similar distributions (pdf)
  Journal of Statistical Physics 121 (2005), 887-899
• M. Golubitsky, I. Stewart, A. Török
  Patterns of synchrony in coupled cell networks with multiple arrows (pdf)
  SIAM Journal on Applied Dynamical Systems 4 (2005), 78-100
• M. Field, I. Melbourne, M. Nicol, A. Török
  Statistical properties of compact group extensions of hyperbolic flows and their time one maps (pdf)
  Discrete and Continuous Dynamical Systems 12 (2005), 79-96
• M. Field, I. Melbourne, A. Török
  Stable ergodicity for smooth compact Lie group extensions of hyperbolic basic sets (pdf)
  Ergodic Theory and Dynamical Systems 25 (2005), 517-551
• I. Melbourne, A. Török
  Statistical Limit Theorems for Suspension Flows (pdf)
  Israel Journal of Mathematics 144 (2004), 191-209
• M. Golubitsky, L.-J. Shiau, A. Török
  Symmetry and pattern formation on the visual cortex (pdf)
  in Dynamics and Bifurcation of Patterns in Dissipative Systems, G. Dangelmayr and I. Oprea (eds.), World Scientific Series on Nonlinear Science, vol. 12, World Scientific, Singapore, 2004
• M. Golubitsky, L.-J. Shiau, A. Török
  Bifurcation on the Visual Cortex with Weakly Anisotropic Lateral Coupling (pdf, 10M)
  SIAM Journal on Applied Dynamical Systems 2 (2003), 97-143
• V. Nitica, A. Török
  Cocycles over abelian TNS actions (preliminary version pdf)
  Geometriae Dedicata 102 (2003), 65-90
• A. Török
  Rigidity of volume preserving partially hyperbolic actions of property (T) groups (pdf)
  Discrete and Continuous Dynamical Systems 9 (2003), 193-208
• M. Field, I. Melbourne, A. Török
  Decay of Correlations, Central Limit Theorems and Approximation by Brownian Motion for Compact Lie Group Extensions (pdf)
  Ergodic Theory and Dynamical Systems 23 (2003), 87-110
• I. Melbourne, A. Török
  Central Limit Theorems and Invariance Principles for Time-One Maps of Hyperbolic Flows (corrected pdf)
  Commun. Math. Phys. 229 (2002), 57-71
• V. Nitica, A. Török
  On the Cohomology of Anosov Actions (ps)
  in Rigidity in Dynamics and Geometry (toc) (2002) 343-359; © Springer-Verlag
• V. Nitica, A. Török
  An open dense set of stably ergodic diffeomorphisms in a neighborhood of a non-ergodic one (ps, pdf)
  Topology 40 (2001), 259-278
• V. Nitica, A. Török
  Local rigidity of certain partially hyperbolic actions of product type (pdf)
  Ergodic Theory and Dynamical Systems 21 (2001), 1213-1237
• A. Katok, V. Nitica, A. Török
  Nonabelian cohomology of abelian Anosov actions (pdf)
  Ergodic Theory and Dynamical Systems 20 (2000), 259-288
• V. Nitica, A. Török
  Regularity of the transfer map for cohomologous cocycles (pdf)
  Ergodic Theory and Dynamical Systems 18 (1998), 1187-1209
• V. Nitica, A. Török
  Regularity results of the solutions of the Livsic cohomology equation with values in diffeomorphism groups (dvi, ps)
  Ergodic Theory and Dynamical Systems 16 (1996), 325-333
• V. Nitica, A. Török
  Cohomology of dynamical systems and rigidity of partially hyperbolic actions of higher rank lattices (dvi, ps)
  Duke Math J. 79 (1995), 751-810
• V. Nitica, A. Török
  Maximal abelian and singular subalgebras in L(F_N)
  J. Operator Theory 30 (1993), 3-19
• V. Nitica, A. Török
  The automorphism group of a free product of groups and simple C*-algebras
  J. Operator Theory 28 (1992), 187-199
• V. Nitica, A. Török
  About the automorphism group of a free products of groups
  Archiv der Mathematik 58 (1992), 214-219
• A. Török
  AF-algebras with unique trace
  Acta Sci. Math. 55 (1991), 129-140
• M. Puta, A. Török
  The spectrum of the p-Laplacian on Kaehler manifolds
  Rendiconti di Mathematica e delle sue Applicationi 11 (1991), 257-271
• M. Puta, A. Török
  The spectrum of the 6-Laplacian on Kaehler manifolds
  Casopis pro pestovani matematicy 113 (1988), 246-251
• M. Puta, A. Török
  On the spectrum of the Laplacian on p-forms
  Analele Univ. Timisoara 25 (1987), 67-73