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Rendering Effective Route Maps: Improving Usability Through Generalization
Information Visualization Non-Realistic Rendering WWW Applications, Human Factors
2016/5/24
Route maps, which depict a path from one location to another, have
emerged as one of the most popular applications on the Web. Current
computer-generated route maps, however, are often very diffi-
...
ENERGY OF TWISTED HARMONIC MAPS OF RIEMANN SURFACES
Riemann surface fundamental group flat bundle harmonic map energy Teichmuller space convex cocompact hyperbolic manifold
2015/12/17
The energy of harmonic sections of flat bundles of nonpositively curved (NPC) length spaces over a Riemann surface S is a function E ρ on Teichm¨uller space TS which is a qualitative invariant of the ...
Harmonic Maps and Teichmuller Theory
Teichmuller space harmonic maps Weil-Petersson metric mapping class group character variety Higgs bundle
2015/12/17
Teichmuller theory is rich in applications to topology and physics. By way of the mapping class group the subject is closely related to knot theory and threemanifolds. From the uniformization theorem,...
Energy of Harmonic Maps and Gardiner’s Formula
Harmonic maps Teichmuller space measured foliation
2015/12/17
It is shown that the usual first variational formula for the energy of a harmonic map (or equivariant harmonic map) with respect to the conformal structure on a two dimensional domain extends to case ...
New,ultra-detailed maps of Great Lakes recreational use will inform restoration priorities
ultra-detailed maps Great Lakes recreational restoration priorities
2015/10/13
University of Michigan researchers and their colleagues have created exceptionally detailed maps of five Great Lakes recreational activities and say the information can be used to help prioritize rest...
Probabilistic seismic hazard maps for the North Balkan region
Seismic hazard map Pannonian basin Monte Carlo simulation Vrancea intermediate focus earthquake seismic hazard methodology UN/IDNDR
2015/9/29
A set of seismic hazard maps, expressed as horizontal peak ground acceleration, have been computed for a large area of Central and Eastern Europe covering the North Balkan area (Former Yugoslavia, Hun...
A block code from an irreducible shift of finite type can be lifted canonically through resolving maps to a resolving map. There is an application to Markovian maps.
THE DIFFUSION COEFFICIENT FOR PIECEWISE EXPANDING MAPS OF THE INTERVAL WITH METASTABLE STATES
DIFFUSION COEFFICIENT WITH METASTABLE STATES
2015/9/29
Consider a piecewise smooth expanding map of the interval possessing several
invariant subintervals and the same number of ergodic absolutely continuous invariant probability measures (ACIMs).
REGULARITY OF ABSOLUTELY CONTINUOUS INVARIANT MEASURES FOR PIECEWISE EXPANDING UNIMODAL MAPS
INVARIANT MEASURES UNIMODAL MAPS
2015/9/29
An important discovery of the 20th century mathematics is that many deterministic
systems exhibit stochastic behavior. The stochasticity is caused by exponential divergence of nearby trajectories. Th...
The energy of harmonic sections of flat bundles of
nonpositively curved (NPC) length spaces over a Riemann surface
S is a function Eρ on Teichm¨uller space TS which is a qualitative
invariant...
DESIGN EXPLORATION OF AUGMENTED PAPER MAPS
Cartography Mapping Design Augmented Reality Mobile Interface
2015/9/28
Paper maps and mobile electronic devices have complementary strengths and shortcomings in outdoor use. In many scenarios like
small craft sailing or cross-country trekking a complete replacements of...
Random Iteration of Maps on a Cylinder and diffusive behavior
Random Iteration of Maps Cylinder diffusive
2015/9/25
Random Iteration of Maps on a Cylinder and diffusive behavior.
NEW EXAMPLES OF S-UNIMODAL MAPS WITH A SIGMA-FINITE ABSOLUTELY CONTINUOUS INVARIANT MEASURE
S-UNIMODAL MAPS SIGMA-FINITE ABSOLUTELY CONTINUOUS INVARIANT MEASURE
2015/9/25
We combine the technique of inducing with a method of Johnson boxes and construct new examples of S-unimodal maps ϕ which do not have a finite absolutely continuous invariant measure, but do have...
NEW EXAMPLES OF TOPOLOGICALLY EQUIVALENT S-UNIMODAL MAPS WITH DIFFERENT METRIC PROPERTIES
TOPOLOGICALLY EQUIVALENT S-UNIMODAL MAPS DIFFERENT METRIC PROPERTIES
2015/9/25
We construct examples of topologically conjugate unimodal maps, such that both of them have an absolutely continuous invariant measure, but for one of them that measure is finite, and for another one ...
PARAMETER CHOICE FOR FAMILIES OF MAPS WITH MANY CRITICAL POINTS
PARAMETER CHOICE MAPS WITH MANY CRITICAL POINTS
2015/9/25
We consider families of smooth one-dimensional maps with several critical points and outline the main ideas of the construction in the parameter space that allows to get infinite Markov Partitions and...