A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Study shows high-rise buildings in Dhaka affect mental health, especially lower-income residents.
Builds geometric structures for algebraic groups over real closed fields.
Deep learning adapts HVAC models to new buildings.
Study Poisson boundaries of building lattices and generalize rigidity results.
We show that if a homeomorphism between the ideal boundaries of two Fuchsian buildings preserves the combinatorial cross ratio almost everywhere, then it extends to an isomorphism between the Fuchsian buildings. It follows that Mostow rigidity holds for Fuchsian buildings: if a group acts properly and cocompactly on tw…
We describe some buildings related to complex Kac-Moody groups. First we describe the spherical building of SLn(C) (i.e. the projective geometry PG(Cn)) and its Veronese representation. Next we recall the construction of the affine building associated to a discrete valuation on the rational function field . Then …
Flat subsets in Euclidean buildings are contained within apartments.
The paper studies surface quotients of Fuchsian buildings.
Research proves limits on harmonic map orders into Euclidean buildings.
This paper surveys smart buildings using machine learning and big data.
In this note, we show that the asymptotic dimension of any building is finite and equal to the asymptotic dimension of an apartment in that building.
We prove isoperimetric inequalities for quotients of -dimensional Affine buildings. We use these inequalities to prove topological overlapping for the 2-dimensional skeletons of these buildings.
Harmonic maps to Euclidean buildings have rectifiable singular strata.
Automates building structural design with reduced mass and carbon footprint.
This research reviews reinforcement learning for optimizing building energy management.
Paper models buildings' thermal characteristics with a Bayesian approach.
Non-positively curved spaces admitting a cocompact isometric action of an amenable group are investigated. A classification is established under the assumption that there is no global fixed point at infinity under the full isometry group. The visual boundary is then a spherical building. When the ambient space is geode…
This paper constructs and proves the uniqueness of pluriharmonic maps to Euclidean buildings.
Machine learning detects building damage in satellite images.
We introduce a construction turning some Coxeter and Davis realizations of buildings into systolic complexes. Consequently groups acting geometrically on buildings of triangle types distinct from , , , and various rank types are systolic.
In this paper we introduce, for each closed orientable surface, an analogue of Tits buildings adjusted to investigation of the Torelli group of this surface. It is a simplicial complex with some additional structure. We call this complex with its additional structure the Torelli building of the surface in question. The…
Deep learning detects building defects from images.
Deep learning outperforms classical methods in categorizing BIM images.
In this article, we discuss the quasiconformal structure of boundaries of right-angled hyperbolic buildings using combinatorial tools. In particular we exhibit some examples of buildings of dimension 3 and 4 whose boundaries satisfy the combinatorial Loewner property. This property is a weak version of the Loewner prop…
Tangent Works won GEFCom 2017 using automatic model building.
Covering space theory is used to construct new examples of buildings.
Proves unique maps from certain spaces to others.
In this paper, we give a general group-theoretic construction of affine $\RR$-buildings, and more generally, of affine -buildings, associated to semisimple Lie groups over nonarchimedean real closed fields. The construction of Kleiner-Leeb using the asymptotic cone of a Riemannian symmetric space appears as a specia…
Graph2Diff neural network predicts precise code changes for build errors.
Proves regularity of harmonic maps into Euclidean buildings and applies to superrigidity of algebraic groups.
Transfer learning improves HVAC fault detection with minimal labeled data.
We compute the compactly supported cohomology of the standard realization of any locally finite building.
One of the key technologies for future large-scale location-aware services covering a complex of multi-story buildings --- e.g., a big shopping mall and a university campus --- is a scalable indoor localization technique. In this paper, we report the current status of our investigation on the use of deep neural network…
The relationship between minimal algebraic Kac-Moody groups and twin buildings is well known as is the relationship between formal completions in one direction and affine buildings. Nevertheless, as the completion of a Kac-Moody group in one direction destroys the opposite BN-pair, there exists no longer a twin buildin…
In this paper we show how to realize all knot (and link) types as C^{2} smooth curves of constant curvature. Our proof is constructive: we build the knots with copies of a fixed finite number of "building blocks" that are particular segments of helices and circles. We use these building blocks to construct all closed b…
The paper discusses building ETF risk models using a multilevel classification taxonomy.
Novel probabilistic models forecast residential heating and electricity demand at hourly resolution.
This survey is a brief introduction to the theory of hyperbolic buildings and their lattices, with a focus on recent results.
Deep learning boosts building energy load forecasting.
We show that twin building lattices have linear divergence, which implies that all asymptotic cones are without cut-points.
We describe the set of possible vector valued side lengths of n-gons in thick Euclidean buildings of rank 2. This set is determined by a finite set of homogeneous linear inequalities, which we call the generalized triangle inequalities. These inequalities are given in terms of the combinatorics of the spherical Coxeter…
We study geodesically complete and locally compact Hadamard spaces X whose Tits boundary is a connected irreducible spherical building. We show that X is symmetric iff complete geodesics in X do not branch and a Euclidean building otherwise. Furthermore, every boundary equivalence (cone topology homeomorphism preservin…
New method builds volatility surfaces from quotes without arbitrage.
A new SL strategy optimizes HVAC DR in multi-zone buildings.
We generalize the natural cross ratio on the ideal boundary of a rank one symmetric spaces, or even space, to higher rank symmetric spaces and (non-locally compact) Euclidean buildings - we obtain vector valued cross ratios defined on simplices of the building at infinity. We show several properties …
This note corrects some omissions in section 2 of the paper "Lipschitz connectivity and filling invariants in solvable groups and buildings."
Machine learning reduces wind tunnel testing costs for tall buildings.
The paper studies fibering properties of RACGs and random subcomplexes of buildings.