Results 31 to 40 of about 37,723 (299)
Critical exponents for groups of isometries [PDF]
Geometriae Dedicata, 2007 Let \(\Gamma\) be a free group acting by isometries on a \(\text{CAT}(-1)\) space \((X,d_X)\) as a convex co-compact group and let \(\Gamma_0\) be a normal subgroup. The author shows that if the quotient group \(\Gamma/\Gamma_0\) is amenable, then \(\delta(\Gamma_0)=\delta(\Gamma)\).
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Critical Exponents in Zero Dimensions [PDF]
Journal of Statistical Physics, 2012 In the vicinity of the onset of an instability, we investigate the effect of colored multiplicative noise on the scaling of the moments of the unstable mode amplitude. We introduce a family of zero dimensional models for which we can calculate the exact value of the critical exponents $β_m$ for all the moments.
Alexakis, A., Pétrélis, F.
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Critical exponent for the Anderson transition in the three-dimensional orthogonal universality class
New Journal of Physics, 2014 We report a careful finite size scaling study of the metal–insulator transition in Anderson's model of localization. We focus on the estimation of the critical exponent ν that describes the divergence of the localization length.
Keith Slevin, Tomi Ohtsuki
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New Journal of Physics, 2019 We investigate the non-equilibrium dynamics across the miscible–immiscible phase separation in a binary mixture of Bose–Einstein condensates. The excitation spectra reveal that the Landau critical velocity vanishes at the critical point, where the ...
Xunda Jiang +3 more
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On a singular nonlinear Neumann problem [PDF]
Opuscula Mathematica, 2014 We investigate the solvability of the Neumann problem involving two critical exponents: Sobolev and Hardy-Sobolev. We establish the existence of a solution in three cases: \(\text{(i)}\;\ 2\lt p+1\lt 2^*(s),\) \(\text{(ii)}\;\ p+1=2^*(s)\) and \(\text ...
Jan Chabrowski
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On a p-Laplacian system with critical Hardy–Sobolev exponents and critical Sobolev exponents [PDF]
Ukrainian Mathematical Journal, 2012 In this paper, the existence results of positive solutions for the semiliner elliptic system \[ \begin{cases} -\text{div} (|\nabla u_i|^{p-2} \nabla u_i) - \mu \frac{|u_i|^{p-2}u_i}{|x|^p} \\ = \frac{1}{p^*} F_{u_i}(u_1,\ldots,u_k) + \frac{|u_i|^{p^*(t)-2}u_i}{|x|^t} + \lambda \frac{|u_i|^{p-2}u_i}{|x|^s}, \quad x \in \Omega, \\ u_i=0 \quad \text{on} \;
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Supporting Survivor‐Centered Care Through Digital Health Integration
Pediatric Blood &Cancer, EarlyView.ABSTRACT Survivors of childhood cancer face barriers to receiving guideline‐based, long‐term follow‐up care. Two digital tools, Passport for Care (PFC) and Cancer SurvivorLink (SurvivorLink), address complementary gaps by enabling tailored survivorship care plan (SCP) generation, updating, storage, and sharing.
Jordan G. Marchak +15 more
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Geometrical interpretation of critical exponents
Physical Review EWe develop the hypothesis that the dynamics of a given system may lead to the activity being constricted to a subset of space, characterized by a fractal dimension smaller than the space dimension. We also address how the response function might be sensitive to this change in dimensionality.
Henrique A. Lima +4 more
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Critical exponents of Nikolaevskii turbulence [PDF]
Physical Review E, 2005 9 pages, 6 ...
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Critical exponents for diluted resistor networks [PDF]
Physical Review E, 1999 An approach by Stephen is used to investigate the critical properties of randomly diluted resistor networks near the percolation threshold by means of renormalized field theory. We reformulate an existing field theory by Harris and Lubensky. By a decomposition of the principal Feynman diagrams we obtain a type of diagrams which again can be interpreted
Stenull, O., Janssen, H. K., Oerding, K.
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