نتایج جستجو برای: flat dimension

تعداد نتایج: 168545  

Journal: :Physical review letters 1992
Le Doussal P Radzihovsky

We study D-dimensional polymerized membranes embedded in d dimensions using a selfconsistent screening approximation. It is exact for large d to order 1/d, for any d to order ǫ = 4−D and for d = D. For flat physical membranes (D = 2, d = 3) it predicts a roughness exponent ζ = 0.590. For phantom membranes at the crumpling transition the size exponent is ν = 0.732. It yields identical lower crit...

2006
Jan E. Åman Ingemar Bengtsson Narit Pidokrajt

The Hessian of either the entropy or the energy function can be regarded as a metric on a Gibbs surface. For two parameter families of asymptotically flat black holes in arbitrary dimension one or the other of these metrics are flat, and the state space is a flat wedge. The mathematical reason for this is traced back to the scale invariance of the Einstein-Maxwell equations. The picture of stat...

Journal: :Proceedings of the American Mathematical Society 1995

2002
Joel Hass Jeffrey C. Lagarias

We consider affine analogues of the isoperimetric inequality in the sense of piecewise linear (PL) manifolds. Given a closed polygon P having n edges, embedded in R, we give upper and lower bounds for the minimal number of triangles t needed to form a triangulated PL surface embedded in R having P as its geometric boundary. More generally we obtain such bounds for a triangulated (locally flat) ...

Journal: :IEICE Transactions 2006
Chester Sungchung Park Kwyro Lee Sin-Chong Park

For multilevel-coded modulation, the cut-off rate of multiple antenna systems over frequency-flat, fast fading channels is derived. Following Wozencraft’s approach, a closed-form expression for the cut-off rate is obtained as a function of energy ratio per dimension It is shown that the maximum value of cut-off rate increases linearly with the number of transmit antennas. key words: cut-off rat...

Journal: :Physical review letters 2012
Arjun Bagchi Stéphane Detournay Daniel Grumiller

We provide the first evidence for a holographic correspondence between a gravitational theory in flat space and a specific unitary field theory in one dimension lower. The gravitational theory is a flat-space limit of topologically massive gravity in three dimensions at a Chern-Simons level of k=1. The field theory is a chiral two-dimensional conformal field theory with a central charge of c=24.

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