4,456 research outputs found
Modelling the effects of mall atmospherics on shoppers' approach behaviors [Brunel Business School Working Paper series: special issue on marketing, volume 2, 2005]
Despite previous work, researchers still do not fully understand the mechanisms by which environmental stimuli influence emotions and affect behavior. This paper attempts to address this knowledge gap by modelling the effects of a stimulus on emotions and behavior within the context of a shopping mall and retail stores. We evaluate a stimulus-response model based on the influence of perceptions on shoppers’ moods, which in turn influence approach behaviors. A structured questionnaire survey of actual shoppers in a real mall environment (n=315) was analysed by structural equation analysis. The exemplar stimulus consisted of a Captive Audience Network (CAN or private plasma screen network) – a topic that has been little researched to date. The influence of the CAN was small but significant. The findings have implications for practitioners as even small changes in image can have a substantial effect on profitability
Critical Percolation Exploration Path and SLE(6): a Proof of Convergence
It was argued by Schramm and Smirnov that the critical site percolation
exploration path on the triangular lattice converges in distribution to the
trace of chordal SLE(6). We provide here a detailed proof, which relies on
Smirnov's theorem that crossing probabilities have a conformally invariant
scaling limit (given by Cardy's formula). The version of convergence to SLE(6)
that we prove suffices for the Smirnov-Werner derivation of certain critical
percolation crossing exponents and for our analysis of the critical percolation
full scaling limit as a process of continuum nonsimple loops.Comment: 45 pages, 14 figures; revised version following the comments of a
refere
Lee-Yang Property and Gaussian multiplicative chaos
The Lee-Yang property of certain moment generating functions having only pure
imaginary zeros is valid for Ising type models with one-component spins and XY
models with two-component spins. Villain models and complex Gaussian
multiplicative chaos are two-component systems analogous to XY models and
related to Gaussian free fields. Although the Lee-Yang property is known to be
valid generally in the first case, we show that is not so in the second. Our
proof is based on two theorems of general interest relating the Lee-Yang
property to distribution tail behavior.Comment: We changed the title to emphasize Gaussian multiplicative chaos.
Theorem 11, giving criteria for when some zeros are not purely imaginary, has
been considerably strengthened. This yields a correspondingly improved result
for continuum complex Gaussian multiplicative chaos in Proposition 1
Continuum Nonsimple Loops and 2D Critical Percolation
Substantial progress has been made in recent years on the 2D critical
percolation scaling limit and its conformal invariance properties. In
particular, chordal SLE6 (the Stochastic Loewner Evolution with parameter k=6)
was, in the work of Schramm and of Smirnov, identified as the scaling limit of
the critical percolation ``exploration process.'' In this paper we use that and
other results to construct what we argue is the full scaling limit of the
collection of all closed contours surrounding the critical percolation clusters
on the 2D triangular lattice. This random process or gas of continuum nonsimple
loops in the plane is constructed inductively by repeated use of chordal SLE6.
These loops do not cross but do touch each other -- indeed, any two loops are
connected by a finite ``path'' of touching loops.Comment: 16 pages, 3 figure
Convergence in Energy-Lowering (Disordered) Stochastic Spin Systems
We consider stochastic processes, S^t \equiv (S_x^t : x \in Z^d), with each
S_x^t taking values in some fixed finite set, in which spin flips (i.e.,
changes of S_x^t) do not raise the energy. We extend earlier results of
Nanda-Newman-Stein that each site x has almost surely only finitely many flips
that strictly lower the energy and thus that in models without zero-energy
flips there is convergence to an absorbing state. In particular, the assumption
of finite mean energy density can be eliminated by constructing a
percolation-theoretic Lyapunov function density as a substitute for the mean
energy density. Our results apply to random energy functions with a
translation-invariant distribution and to quite general (not necessarily
Markovian) dynamics.Comment: 11 page
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