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Probabilistic Roadmaps for Path Planning in HighDimensional Configuration Spaces
 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION
, 1996
"... A new motion planning method for robots in static workspaces is presented. This method proceeds in two phases: a learning phase and a query phase. In the learning phase, a probabilistic roadmap is constructed and stored as a graph whose nodes correspond to collisionfree configurations and whose edg ..."
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Cited by 1245 (117 self)
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be done in a fraction of a second on a contemporary workstation (=150 MIPS), after learning for relatively short periods of time (a few dozen seconds)
On period spaces for pdivisible groups
 C.R. MATH. ACAD SCI. PARIS
, 2008
"... In their book Rapoport and Zink constructed rigid analytic period spaces for Fontaine’s filtered isocrystals, and period morphisms from moduli spaces of pdivisible groups to some of these period spaces. We determine the image of these period morphisms, thereby contributing to a question of Grothend ..."
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Cited by 9 (1 self)
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In their book Rapoport and Zink constructed rigid analytic period spaces for Fontaine’s filtered isocrystals, and period morphisms from moduli spaces of pdivisible groups to some of these period spaces. We determine the image of these period morphisms, thereby contributing to a question
Representing twentieth century spacetime climate variability, part 1: development of a 196190 mean monthly terrestrial climatology
 Journal of Climate
, 1999
"... The construction of a 0.58 lat 3 0.58 long surface climatology of global land areas, excluding Antarctica, is described. The climatology represents the period 1961–90 and comprises a suite of nine variables: precipitation, wetday frequency, mean temperature, diurnal temperature range, vapor pressur ..."
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Cited by 556 (12 self)
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The construction of a 0.58 lat 3 0.58 long surface climatology of global land areas, excluding Antarctica, is described. The climatology represents the period 1961–90 and comprises a suite of nine variables: precipitation, wetday frequency, mean temperature, diurnal temperature range, vapor
Taming the Underlying Challenges of Reliable Multihop Routing in Sensor Networks
 In SenSys
, 2003
"... The dynamic and lossy nature of wireless communication poses major challenges to reliable, selforganizing multihop networks. These nonideal characteristics are more problematic with the primitive, lowpower radio transceivers found in sensor networks, and raise new issues that routing protocols mu ..."
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Cited by 766 (20 self)
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with constant space regardless of cell density. We study and evaluate link estimator, neighborhood table management, and reliable routing protocol techniques. We focus on a manytoone, periodic data collection workload. We narrow the design space through evaluations on largescale, highlevel simulations to 50
Homological Algebra of Mirror Symmetry
 in Proceedings of the International Congress of Mathematicians
, 1994
"... Mirror Symmetry was discovered several years ago in string theory as a duality between families of 3dimensional CalabiYau manifolds (more precisely, complex algebraic manifolds possessing holomorphic volume elements without zeroes). The name comes from the symmetry among Hodge numbers. For dual Ca ..."
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Cited by 521 (3 self)
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on such a manifold and Taylor coefficients of periods of Hodge structures considered as functions on the moduli space of complex structures on a mirror manifold. Recently it has been realized that one can make predictions for numbers of curves of positive genera and also on CalabiYau manifolds of arbitrary
Period spaces for Hodge structures in equal characteristic
, 2008
"... We develop the analogue in equal positive characteristic of Fontaine’s theory for crystalline Galois representations of a padic field. In particular we describe the analogue of Fontaine’s functor which assigns to a crystalline Galois representation an isocrystal with a Hodge filtration. In equal c ..."
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Cited by 12 (5 self)
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characteristic the role of isocrystals and Hodge filtrations is played by zisocrystals and HodgePink structures. The later were invented by Pink. Our first main result in this article is the analogue of the ColmezFontaine Theorem that ”weakly admissible implies admissible”. Next we construct period spaces
IRREDUCIBLE HEEGNER DIVISORS IN THE PERIOD SPACE OF ENRIQUES SURFACES
, 2007
"... ABSTRACT. Reflection walls of certain primitive vectors in the antiinvariant sublattice of the K3 lattice define Heegner divisors in the period space of Enriques surfaces. We show that depending on the norm of these primitive vectors, these Heegner divisors are either irreducible or have two irreduc ..."
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ABSTRACT. Reflection walls of certain primitive vectors in the antiinvariant sublattice of the K3 lattice define Heegner divisors in the period space of Enriques surfaces. We show that depending on the norm of these primitive vectors, these Heegner divisors are either irreducible or have two
Insertion sequences
 Microbiol Mol. Biol. Rev
, 1998
"... These include: Receive: RSS Feeds, eTOCs, free email alerts (when new articles cite this article), more» Downloaded from ..."
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Cited by 426 (3 self)
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These include: Receive: RSS Feeds, eTOCs, free email alerts (when new articles cite this article), more» Downloaded from
Remarks about heat diffusion on periodic spaces
 Proc. Amer. Math. Soc
, 1997
"... Abstract. Let M be a complete Riemannian manifold with a free cocompact Z kaction. Let k(t, m1, m2) be the heat kernel on M. We compute the asymptotics of k(t, m1, m2) in the limit in which t → ∞ and d(m1, m2) ∼ √ t. We show that in this limit, the heat diffusion is governed by an effective Eucl ..."
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Cited by 2 (0 self)
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Abstract. Let M be a complete Riemannian manifold with a free cocompact Z kaction. Let k(t, m1, m2) be the heat kernel on M. We compute the asymptotics of k(t, m1, m2) in the limit in which t → ∞ and d(m1, m2) ∼ √ t. We show that in this limit, the heat diffusion is governed by an effective Euclidean metric on R k coming from the Hodge inner product on H 1 (M/Z k; R). 1.
SEMISTABLE DEGENERATIONS AND PERIOD SPACES FOR POLARIZED K3 SURFACES
"... Abstract. Modular compactifications of moduli spaces for polarized K3 surfaces are constructed using the tools of logarithmic geometry in the sense of Fontaine and Illusie. The relationship between these new moduli spaces and the classical minimal and toroidal compactifications of period spaces are ..."
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Cited by 7 (0 self)
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Abstract. Modular compactifications of moduli spaces for polarized K3 surfaces are constructed using the tools of logarithmic geometry in the sense of Fontaine and Illusie. The relationship between these new moduli spaces and the classical minimal and toroidal compactifications of period spaces
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