Gershon Wolansky Publications

Publications

All material accessible through this page is copyright by Gershon Wolansky and his coauthors and by the corresponding publishers. Permission is granted for fair use in personal, noncommercial, and academic projects. For a complete list of my publications see:  complete list of publications

Here are some of my recent and not-so-recent mathematical papers. Some of them were published and/or available on the web. Others are still waiting patiently:

  1. “Rotation numbers for measure-valued circle maps“(J. DAnal’. Math., 97, 169-201, 2005).
  2. “On the equation $U_t = \Delta U + M e^u/ \int e^U$ in planar domains“ (in Nonlocal Elliptic and Parabolic Equations, Banach Center Publications, 66, 2004).
  3. With J. Rubinstein , “A variational principle in optics” (J. Opt. Soc. Amer. A 21 , no11, 2164–2172, 2004)
  4.    with J. Rubinstein, and P. Sternberg, “Elliptic problems on networks with constrictions” (Calculus of Variations and PDE, 26, 459-487, 2006).
  5. with J. Rubinstein “Intensity control for a free form lens“, J. Opt. Soc. Am.
  6. “A critical parabolic estimate and application to nonlocal equations arising in chemotaxis“: (Applicable analysis, Vol. 66, pp 291-321, 1997). Scanned and presented in jpg format.
  7. with Y. Pinchover and D. Zelig“Spectral properties of Schr\”{o}dinger operators defined on N-dimensional infinite trees (Israel Journal of Mathematics, to appear).
  8.  “Minimizers of Dirichlet functionals on the $n-$torus and the Weak KAM Theory“
  9.  With J. Rubinstein and A. Rubinstein: “Determining sets for discrete Laplacians” , (Siam Rev., Vol 49, #2, 315-324, 2007).
  10.  “Dynamics of a system of sticking particles of finite size on the line”, Nonlinearity 20 2175-2189, http://www.iop.org/EJ/abstract/0951-7715/20/9/009.
  11. “Diffusion’s induced transport in periodic channels and an inverse problem
  12. “Optimal networks by mass transportation via points allocation“
  13. “Limit Theorems for Optimal Mass Transportation“