368 citations
- G. Dunne21 · h 59
- S. Stepanyan5 profiles15 · h 56
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- Brookhaven National LaboratoryUS16 papers
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- Center for Astrophysics Harvard & SmithsonianUS10 papers
11 papers · 1 filter
Large deviations for renormalized self-intersection local times of stable processes
Richard Bass, Xia Chen, Jay Rosen
We study large deviations for the renormalized self-intersection local time of d-dimensional stable processes of index β\in (2d/3,d]. We find a difference between the upper and low…
Superradiance in ultracold Rydberg gases
Tun Wang, S. F. Yelin, R. Cote +6
Experiments in dense, ultracold gases of rubidium Rydberg atoms show a considerable decrease of the radiative excited state lifetimes compared to dilute gases. This accelerated dec…
Moderate deviations and laws of the iterated logarithm for the renormalized self-intersection local times of planar random walks
Richard F. Bass, Xia Chen, Jay Rosen
Let B_n be the number of self-intersections of a symmetric random walk with finite second moments in the integer planar lattice. We obtain moderate deviation estimates for B_n - E…
Hilbert-Schmidt groups as infinite-dimensional Lie groups and their Riemannian geometry
Maria Gordina
We describe the exponential map from an infinite-dimensional Lie algebra to an infinite-dimensional group of operators on a Hilbert space. Notions of differential geometry are intr…
Numerical Investigation of Monopole Chains
Gerald V. Dunne, Vishesh Khemani
We present numerical results for chains of SU(2) BPS monopoles constructed from Nahm data. The long chain limit reveals an asymmetric behavior transverse to the periodic direction,…
Self-intersection local time: Critical exponent, large deviations, and laws of the iterated logarithm
Richard F. Bass, Xia Chen
If β_t is renormalized self-intersection local time for planar Brownian motion, we characterize when Ee^{γβ_1} is finite or infinite in terms of the best constant of a Gagliardo-Ni…