​Dr. Lev Glebsky




Educación

01/03/1998  doctorado en matematica, Universidad de Nizhniy Novgorod,  Federación Rusia,

Tesis: Stability of small localized solution for some pde.

01/07/1992   maestria en fisica, facultad de radiofisica, Federación Rusia.


Intereses científicos.

Álgebra. Teoría de grupos geométrica y combinatoria. Filosóficamente, la gran parte de mis trabajos son  sobre la relación entre finito e infinito en matemáticas. Actualmente estoy involucrado en  un proyecto relacionado con mecánica cuántica.

 

Publicaciones Científicas

MR3614147  Glebsky, Lev . Approximations of groups, characterizations of sofic groups, and equations over groups. 

 J. Algebra  477  (2017), 147--162.


MR3411530  Afraimovich, Valentin ;  Courbage, Maurice ;  Glebsky, Lev . Directional complexity and entropy for lift mappings. 

Discrete Contin. Dyn. Syst. Ser. B  20  (2015),  no. 10, 3385--3401.


MR3379399  Gordon, E. I. ;  Glebsky, L. Yu. ;  Henson, C. W.  Nonstandard analysis of the behavior of ergodic means of dynamical systems on very big finite probability spaces.

Nonlinear dynamics new directions, 115--151, Nonlinear Syst. Complex., 11, Springer, Cham,  2015.


MR3118384  Glebsky, Lev . Cycles in repeated exponentiation modulo p^n. 

Integers  13  (2013), Paper No. A66, 7 pp.


MR3085773  Glebsky, Lev ;  Rubio-Barrios, Carlos Jacob . A simple proof of Hilbert's Nullstellensatz based on Gröbner bases.

(Spanish)  Lect. Mat.  34  (2013),  no. 1, 77--82.


MR2679712  Afraimovich, Valentin ;  Glebsky, Lev ;  Vazquez, Rosendo . Measures related to metric complexity.

Discrete Contin. Dyn. Syst.  28  (2010),  no. 4, 1299--1309.


MR2644246  Glebsky, Lev ;  Shparlinski, Igor E.  Short cycles in repeated exponentiation modulo a prime. 

Des. Codes Cryptogr.  56  (2010),  no. 1, 35--42.


MR2519917  Glebsky, Lev ;  Rivera, Luis Manuel . On low rank perturbations of complex matrices and some discrete metric spaces.

Electron. J. Linear Algebra  18  (2009), 302--316.


MR2500002  Glebsky, Lev ;  Rivera, Luis Manuel . Almost solutions of equations in permutations. Taiwanese J. Math.  13  (2009),  no. 2A, 493--500.


MR2455513  Glebsky, Lev ;  Rivera, Luis Manuel . Sofic groups and profinite topology on free groups.

J. Algebra  320  (2008),  no. 9, 3512--3518.


MR2417584  Gerhold, Stefan ;  Glebsky, Lev ;  Schneider, Carsten ;  Weiss, Howard ;  Zimmermann, Burkhard . Computing the complexity for Schelling segregation models. 

Commun. Nonlinear Sci. Numer. Simul.  13  (2008),  no. 10, 2236--2245.


MR2410945  Afraimovich, Valentin ;  Glebsky, Lev . Measures related to (ϵ,n)-complexity functions.

Discrete Contin. Dyn. Syst.  22  (2008),  no. 1-2, 23--34.


MR2298468  Glebsky, L. Yu. ;  Gordon, E. I. ;  Henson, C. Ward . On finite approximations of topological algebraic systems.

J. Symbolic Logic  72  (2007),  no. 1, 1--25.


MR2253371  Glebsky, L. Yu. ;  Rubio, Carlos J.  Partial Latin squares and their generalized quotients.

Taiwanese J. Math.  10  (2006),  no. 5, 1157--1167.


MR2203704  Glebsky, L. Yu. ;  Gordon, E. I. ;  Rubio, C. J.  A survey on approximation of locally compact groups by finite groups, semigroups and quasigroups.

Non-associative algebra and its applications, 167--182, Lect. Notes Pure Appl. Math., 246, Chapman & Hall/CRC, Boca Raton, FL,  2006.


MR2162895  Glebsky, L. Yu. ;  Gordon, E. I.  On surjunctivity of the transition functions of cellular automata on groups.

Taiwanese J. Math.  9  (2005),  no. 3, 511--520.


MR2162885  Afraimovich, V. ;  Glebsky, L.  Measures of ϵ-complexity.

Taiwanese J. Math.  9  (2005),  no. 3, 397--409.

               

MR2157548  Affraimovich, Valentin ;  Glebsky, Lev . Complexity, fractal dimensions and topological entropy in dynamical systems.

Chaotic dynamics and transport in classical and quantum systems,

35--72, NATO Sci. Ser. II Math. Phys. Chem., 182, Kluwer Acad. Publ., Dordrecht,  2005.

MR2157366  Glebsky, L. Yu. ;  Gordon, E. I. ;  Rubio, C. J.  On approximation of unimodular groups by finite quasigroups.

Illinois J. Math.  49  (2005),  no. 1, 17--31.

               

MR2157365  Glebsky, L. Yu. ;  Gordon, E. I.  On approximation of topological groups by finite quasigroups and finite semigroups.

Illinois J. Math.  49  (2005),  no. 1, 1--16.

               

MR2079290  Glebsky, Lev Yu. ;  Salazar, Gelasio . The crossing number of Cm×Cn is as conjectured for n≥m(m+1).

J. Graph Theory  47  (2004),  no. 1, 53--72.

               

MR2048428  Glebsky, L. Yu. ;  Gordon, E. I.  On approximation of locally compact groups by finite algebraic systems.

Electron. Res. Announc. Amer. Math. Soc.  10  (2004), 21--28.

               

MR1928449  Glebsky, Lev ;  Morante, Antonio . Complete description of weakly coupled chaotic subsystems.

Rev. Mexicana Fís.  48  (2002),  no. 4, 355--359.

               

MR1478762  Belyakov, L. A. ;  Glebsky, L. Yu. ;  Lerman, L. M.  Abundance of stable stationary localized solutions to the generalized 1D Swift-Hohenberg equation.

Computational tools of complex systems, I.

Comput. Math. Appl.  34  (1997),  no. 2-4, 253--266.

               

MR1438258  Glebsky, L. Yu. ;  Lerman, L. M.  Instability of small stationary localized solutions to a class of reversible 1+1 PDEs.

Nonlinearity  10  (1997),  no. 2, 389--407.

               

MR1443467  Glebsky, L. Yu. ;  Lerman, L. M.  1:−1 bifurcation for a periodic orbit in a 3D Hamiltonian system.

International Conference on Nonlinear Dynamics, Chaotic and Complex Systems (Zakopane, 1995).

J. Tech. Phys.  37  (1996),  no. 3-4, 343--346.

               

MR1335114  Glebsky, L. Yu. ;  Lerman, L. M.  On small stationary localized solutions for the generalized 1-D Swift-Hohenberg equation.

Chaos  5  (1995),  no. 2, 424--431.

               

MR1315481  Afraimovich, Valentine S. ;  Glebsky, Leo Yu. ;  Nekorkin, Vladimir I.  Stability of stationary states and topological spatial chaos in multidimensional lattice dynamical systems.

Random Comput. Dynam.  2  (1994),  no. 3-4, 287--303.

 

email: glebskylev@gmail.com