1,013 research outputs found
Analysis of the seismic site effects along the ancient Via Laurentina (Rome)
This paper presents an evaluation of the Local Seismic Response (LSR)
along the route of the ancient Roman road Via Laurentina, which has
been exposed in several areas of southwest Rome over the last decade
during the construction of new buildings and infrastructures. It is
an example of LSR analysis applied to ancient and archaeological
sites located in alluvial valleys with some methodological inferences
for the design of infrastructure and urban planning. Since the ancient
road does not cross the alluvial valley (namely the Fosso di Vallerano
Valley) normal to its sides, it was not possible to directly perform
2D numerical modelling to evaluate the LSR along the road route.
Therefore, outputs of 2D numerical models, obtained along three cross
sections that were normal oriented respect to the valley, were projected
along the route of the Via Laurentina within a reliable buffer attributed
according to an available high-resolution geological model of the
local subsoil. The modelled amplification functions consider physical
effects due to both the 2D shape of the valley and the heterogeneities
of the alluvial deposits. The 1D and 2D amplification functions were
compared to output that non-negligible effects are related to the narrow
shape of the fluvial valley and the lateral contacts between the
lithotecnical units composing the alluvial fill. The here experienced
methodology is suitable for applications to the numerical modelling of
seismic response in case of linear infrastructures (i.e., roads, bridges,
railways) that do not cross the natural system along physically characteristic
directions (i.e. longitudinally or transversally)
Two repelling random walks on
We consider two interacting random walks on such that the
transition probability of one walk in one direction decreases exponentially
with the number of transitions of the other walk in that direction. The joint
process may thus be seen as two random walks reinforced to repel each other.
The strength of the repulsion is further modulated in our model by a parameter
. When both processes are independent symmetric
random walks on , and hence recurrent. We show that both random
walks are further recurrent if . We also show that these
processes are transient and diverge in opposite directions if . The
case remains widely open. Our results are obtained by
considering the dynamical system approach to stochastic approximations.Comment: 17 pages. Added references and corrected typos. Revised the argument
for the convergence to equilibria of the vector field. Improved the proof for
the recurrence when beta belongs to (0,1); leading to the removal of a
previous conjectur
A spatial stochastic model for rumor transmission
We consider an interacting particle system representing the spread of a rumor
by agents on the -dimensional integer lattice. Each agent may be in any of
the three states belonging to the set {0,1,2}. Here 0 stands for ignorants, 1
for spreaders and 2 for stiflers. A spreader tells the rumor to any of its
(nearest) ignorant neighbors at rate \lambda. At rate \alpha a spreader becomes
a stifler due to the action of other (nearest neighbor) spreaders. Finally,
spreaders and stiflers forget the rumor at rate one. We study sufficient
conditions under which the rumor either becomes extinct or survives with
positive probability
Scaling limit for a drainage network model
We consider the two dimensional version of a drainage network model
introduced by Gangopadhyay, Roy and Sarkar, and show that the appropriately
rescaled family of its paths converges in distribution to the Brownian web. We
do so by verifying the convergence criteria proposed by Fontes, Isopi, Newman
and Ravishankar.Comment: 15 page
Lattice Gauge Theories and the Heisenberg Antiferromagnetic Chain
We study the strongly coupled 2-flavor lattice Schwinger model and the
SU(2)-color QCD_2. The strong coupling limit, even with its inherent
nonuniversality, makes accurate predictions of the spectrum of the continuum
models and provides an intuitive picture of the gauge theory vacuum. The
massive excitations of the gauge model are computable in terms of spin-spin
correlators of the quantum Heisenberg antiferromagnetic spin-1/2 chain.Comment: Proceedings LATTICE99 (spin models), 3 page
- …