Fiber brownian motion and the “hot spots” problem

Duke Mathematical Journal

Volumn 105, Issue 1, 2000, Pages 25-58

  Bass, Richard F ^a   Burdzy, Krzysztof ^b  

^a UNIVERSITY OF CONNECTICUT   (United States)

^b UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034666877     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-00-10512-1     Document Type: Article

References (11)

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5. R. F. Bass and P. Hsu, Some potential theory for reflecting Brownian motion in Holder and Lipschitz domains, Ann. Probab. 19 (1991), 486-508.
6. K. Burdzy and W. Kendall, Efficient Markovian couplings: Examples and counterexamples, to appear in Ann. Appl. Probab.
7. K. Burdzy and W. Werner, A counterexample to the “hot spots” conjecture, Ann. of Math. (2) 149 (1999), 309-317.
8. I. Chavel, Eigenvalues in Riemannian Geometry, Pure Appl. Math. 115, Academic Press, Orlando, 1984.
9. K. Itô and H. P. McKean, Diffusion Processes and Their Sample Paths, Springer, Berlin, 1974.
10. D. Jerison and N. Nadirashvili, The “hot spots” conjecture for domains with two axes of symmetry, preprint, 1999.
11. B. Kawohl, Rearrangements and Convexity of Level Sets in PDE, Lecture Notes in Math. 1150, Springer, Berlin, 1985.