Baris Evren Ugurcan
Cornell University, 2014.
Harmonic Analysis and Stochastic Processes on Graphs and scaling limits (e.g. fractals); Functional Analysis, Non-commutative probability.
Publications and works in progress:
- (with Lionel Levine, Mathav Murugan and Yuval Peres) Divisible Sandpile at the Critical Density, To appear in Annales Henri Poincaré,
Volume 17, Issue 7, July 2016.
- (with Joe P. Chen) Entropic repulsion of Gaussian free field on
high-dimensional Sierpinski carpet graphs, Stochastic Processes and their Applications 125 (2015), pp. 4632-4673 (arXiv:1307.5825v2)
- (with Pak Hin Li, Nicholas Ryder and Robert S. Strichartz) Extensions and their Minimizations on the Sierpinski Gasket." Potential Analysis 41, no. 4 (2014): 1167-1201. (arXiv:1308.6814v1)
- (with Aurelian Gheondea) On two equivalent dilation theorems in VH-spaces, Complex Analysis and Operator Theory. Vol. 6, No. 3 (2012) 625-650.
- (with Robert S. Strichartz and Anna Blasiak), Spectra of Self-similar Laplacians on the Sierpinski Gasket with Twists. Fractals. Vol. 16, No. 1 (2008) 43-68.
- Boundary Value Problems and $L^p$-estimates on Fractals, Preprint (2015).