17,604 research outputs found
Local behavior of fractional -minimizers
We extend the De Giorgi-Nash-Moser theory to nonlocal, possibly degenerate
integro-differential operators.Comment: 26 pages. To appear in Ann. Inst. H. Poincare Anal. Non Lineaire.
arXiv admin note: text overlap with arXiv:1405.784
The motion of a second class particle for the tasep starting from a decreasing shock profile
We prove a strong law of large numbers for the location of the second class
particle in a totally asymmetric exclusion process when the process is started
initially from a decreasing shock. This completes a study initiated in Ferrari
and Kipnis [Ann. Inst. H. Poincare Probab. Statist. 13 (1995) 143-154].Comment: Published at http://dx.doi.org/10.1214/105051605000000151 in the
Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute
of Mathematical Statistics (http://www.imstat.org
Spin, Statistics, and Reflections, I. Rotation Invariance
The universal covering of SO(3) is modelled as a reflection group G_R in a
representation independent fashion. For relativistic quantum fields, the Unruh
effect of vacuum states is known to imply an intrinsic form of reflection
symmetry, which is referred to as "modular P_1CT-symmetry (Bisognano, Wichmann,
1975, 1976, and Guido, Longo, [funct-an/9406005]). This symmetry is used to
construct a representation of G_R by pairs of modular P_1CT-operators. The
representation thus obtained satisfies Pauli's spin-statistics relation.Comment: Accepted for publication in Ann. H. Poincare, (annoying) misprints
correcte
Scenario of Accelerating Universe from the Phenomenological \Lambda- Models
Dark matter, the major component of the matter content of the Universe,
played a significant role at early stages during structure formation. But at
present the Universe is dark energy dominated as well as accelerating. Here,
the presence of dark energy has been established by including a time-dependent
term in the Einstein's field equations. This model is compatible with
the idea of an accelerating Universe so far as the value of the deceleration
parameter is concerned. Possibility of a change in sign of the deceleration
parameter is also discussed. The impact of considering the speed of light as
variable in the field equations has also been investigated by using a well
known time-dependent model.Comment: Latex, 9 pages, Major change
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