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500
Values of Brownian intersection exponents II: Plane exponents
 ACTA MATHEMATICA
, 2000
"... We derive the exact value of intersection exponents between planar Brownian motions or random walks, confirming predictions from theoretical physics by Duplantier and Kwon. Let B and B ′ be independent Brownian motions (or simple random walks) in the plane, started from distinct points. We prove tha ..."
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Cited by 64 (18 self)
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We derive the exact value of intersection exponents between planar Brownian motions or random walks, confirming predictions from theoretical physics by Duplantier and Kwon. Let B and B ′ be independent Brownian motions (or simple random walks) in the plane, started from distinct points. We prove
Simulations and Conjectures for Disconnection Exponents
, 1996
"... Using MonteCarlo simulations, we estimate numerically disconnection exponents for planar Brownian motions. These simulations tend to confirm conjectures by Duplantier and Mandelbrot. 1 Introduction In recent years, nonintersection exponents for twodimensional random walks have received a lot of ..."
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Cited by 6 (0 self)
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Using MonteCarlo simulations, we estimate numerically disconnection exponents for planar Brownian motions. These simulations tend to confirm conjectures by Duplantier and Mandelbrot. 1 Introduction In recent years, nonintersection exponents for twodimensional random walks have received a lot
Entropy potential and Lyapunov exponents
"... According to a previous conjecture, spatial and temporal Lyapunov exponents of chaotic extended systems can be obtained from derivatives of a suitable function, the entropy potential. The validity and the consequences of this hypothesis are explored in detail. The numerical investigation of a conti ..."
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According to a previous conjecture, spatial and temporal Lyapunov exponents of chaotic extended systems can be obtained from derivatives of a suitable function, the entropy potential. The validity and the consequences of this hypothesis are explored in detail. The numerical investigation of a
HYPERBOLIC GROUPS AND THEIR QUOTIENTS OF BOUNDED EXPONENTS
"... Abstract. In 1987, Gromov conjectured that for every nonelementary hyperbolic group G there is an n = n(G) such that the quotient group G/G n is infinite. The article confirms this conjecture. In addition, a description of finite subgroups of G/G n is given, it is proven that the word and conjugacy ..."
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Cited by 7 (1 self)
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Abstract. In 1987, Gromov conjectured that for every nonelementary hyperbolic group G there is an n = n(G) such that the quotient group G/G n is infinite. The article confirms this conjecture. In addition, a description of finite subgroups of G/G n is given, it is proven that the word
Dynamic exponent in extremal models of pinning
, 1999
"... Abstract. The depinning transition of a front moving in a timeindependent random potential is studied. The temporal development of the overall roughness w(L, t) of an initially flat front, w(t) ∝ t β,isthe classical means to have access to the dynamic exponent. However, in the case of front propag ..."
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Abstract. The depinning transition of a front moving in a timeindependent random potential is studied. The temporal development of the overall roughness w(L, t) of an initially flat front, w(t) ∝ t β,isthe classical means to have access to the dynamic exponent. However, in the case of front
MonteCarlo Tests and Conjectures for Disconnection Exponents
 COMM. PROB
, 1995
"... Using MonteCarlo simulations, we estimate numerically disconnection exponents for planar Brownian motions. These simulations tend to confirm conjectures by Duplantier and Mandelbrot. ..."
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Cited by 2 (2 self)
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Using MonteCarlo simulations, we estimate numerically disconnection exponents for planar Brownian motions. These simulations tend to confirm conjectures by Duplantier and Mandelbrot.
COMMUNICATIONS in PROBABILITY SIMULATIONS AND CONJECTURES FOR DISCONNECTION EXPONENTS
"... Using MonteCarlo simulations, we estimate numerically disconnection exponents for planar Brownian motions. These simulations tend to confirm conjectures by Duplantier and Mandelbrot. 1 ..."
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Using MonteCarlo simulations, we estimate numerically disconnection exponents for planar Brownian motions. These simulations tend to confirm conjectures by Duplantier and Mandelbrot. 1
Monte Carlo measurement of the global persistence exponent, Phys
 Lett. A
, 1997
"... The scaling behaviour of the persistence probability in the critical dynamics is investigated with both the heatbath and the Metropolis algorithm for the two–dimensional Ising model and Potts model. Special attention is drawn to the dependence on the initial magnetization. The global persistence ex ..."
Symmetries of fluid dynamics with polytropic exponent,” Phys
 Lett. A
, 2001
"... The symmetries of the general Euler equations of fluid dynamics with polytropic exponent are determined using the KaluzaKlein type framework of Duval et al. In the standard polytropic case the recent results of O’Raifeartaigh and Sreedhar are confirmed. Similar results are proved for polytropic exp ..."
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Cited by 8 (0 self)
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The symmetries of the general Euler equations of fluid dynamics with polytropic exponent are determined using the KaluzaKlein type framework of Duval et al. In the standard polytropic case the recent results of O’Raifeartaigh and Sreedhar are confirmed. Similar results are proved for polytropic
Exponent Blinding May Not Prevent Timing Attacks on RSA
"... Abstract. The references [9, 3, 1] treat timing attacks on RSA with CRT and Montgomery’s multiplication algorithm in unprotected implementations. It has been widely believed that exponent blinding would prevent any timing attack on RSA. At cost of significantly more timing measurements this paper e ..."
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extends the beforementioned attacks to RSA with CRT, Montgomery’s multiplication algorithm and exponent blinding. Simulation experiments are conducted, which confirm the theoretical results. Effective countermeasures exist.
Results 1  10
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500