Ibrahim Fatkullin :: Homepage

Associate Professor of Mathematics at UA
MATH602 :: ibrahim at math arizona edu

select publications and preprints

• Limit shapes for Gibbs partitions of sets
  with Jianfei Xue :: JSP 183:22 2021 :: [pdf]
• On hydrodynamic limits of Young diagrams
  with Sunder Sethuraman and Jianfei Xue :: EJP 25:58 2020 :: [pdf]
• Limit shapes for Gibbs ensembles of partitions
  with Valeriy Slastikov :: JSP 172(6):1545 2018 :: [pdf]
• Coalescing particle systems and applications to nonlinear Fokker-Planck equations
  with Gleb Zhelezov :: CMS 16(2) 2018 :: [pdf]
• Category competition as a driver of category contrast
  with Andrew Wedel :: JLE 2(1):77 2017 :: [pdf]
• Diffusive transport in two-dimensional nematics
  with Valeriy Slastikov :: DCDS-S 8(2):323 2015 :: [pdf]
• A study of blow-ups in the Keller-Segel model of chemotaxis
  Nonlinearity 26(1):81 2013 :: [pdf]
• Stochastic filtering for diffusion processes with level crossings
  with Agostino Capponi and Ling Shi :: IEEE TAC 56(9):2201 2011 :: [pdf]
• Reduced dynamics of stochastically perturbed gradient flows
  with Gregor Kovacic and Eric Vanden-Eijnden :: CMS 8(2):439 2010 :: [pdf]
• Vortices in two-dimensional nematics
  with Valeriy Slastikov :: CMS 7(4):917 2009 :: [pdf]
• On spatial variations of nematic ordering
  with Valeriy Slastikov :: Physica D 237:2577 2008 :: [pdf]
• Critical points of the Onsager functional on a sphere
  with Valeriy Slastikov :: Nonlinearity 18:2565 2005 :: [pdf]
• A note on the Onsager model of nematic phase transitions
  with Valeriy Slastikov :: CMS 3(1):21 2005 :: [pdf]
• A computational strategy for multiscale systems with application to Lorenz 96 model
  with Eric Vanden-Eijnden :: JCP 200:605 2004 :: [pdf]
• Statistical description of contact-interacting Brownian walkers on the line
  with Eric Vanden-Eijnden :: JSP 112:155 2003 :: [pdf]
• Coarsening in stochastically perturbed Ginzburg-Landau-type equations and statistical studies of Potts model :: PhD thesis :: 2002 :: [pdf]
• Coarsening by diffusion-annihilation in a bistable system driven by noise
  with Eric Vanden-Eijnden :: manuscript 2002 :: [pdf]
• Anomalous relaxation and self organization in nonequilibrium processes
  with Konstantin Kladko, Igor Mitkov and Alan Bishop :: PRE 63.067102 2001 :: [pdf]
• Adaptive high order finite difference method for nonlinear wave problems
  with Jan Hesthaven :: JSC 16(1):47 2001 :: [pdf]
• Goursat problem for Maxwell-Bloch equations :: Diploma thesis :: 2000 :: [pdf]

teaching :: fall 2022

• Introduction to Differential Equations (MATH254)