Publications related to Intersection theory

Additive and geometric transversality of fractal sets in the integers

By juxtaposing ideas from fractal geometry and dynamical systems, Furstenberg proposed a series of conjectures in the late 1960's that explore the relationship between digit expansions with respect to multiplicatively independent bases. In this work, we in ...

2024

FIBERED TORIC VARIETIES

Leonid Monin

A toric variety is called fibered if it can be represented as a total space of fibre bundle over toric base and with toric fiber. Fibered toric varieties form a special case of toric variety bundles. In this note we first give an introduction to the class ...

Independent Univ Moscow-Ium2023

A smooth compactification of the space of genus two curves in projective space: via logarithmic geometry and Gorenstein curves

Francesca Carocci

We construct a modular desingularisation of (M) over bar (2,n)(P-r, d)(main). The geometry of Gorenstein singularities of genus two leads us to consider maps from prestable admissible covers; with this enhanced logarithmic structure, it is possible to desi ...

GEOMETRY & TOPOLOGY PUBLICATIONS2023

Revisiting Evaluation Metrics for Semantic Segmentation: Optimization and Evaluation of Fine-grained Intersection over Union

Devis Tuia, Zifu Wang

Semantic segmentation datasets often exhibit two types of imbalance: \textit{class imbalance}, where some classes appear more frequently than others and \textit{size imbalance}, where some objects occupy more pixels than others. This causes traditional eva ...

2023

On rationally connected varieties over C1 fields of characteristic 0

Marta Pieropan

We use birational geometry to show that the existence of rational points on proper rationally connected varieties over fields of characteristic 0 is a consequence of the existence of rational points on terminal Fano varieties. We discuss several consequenc ...

MATHEMATICAL SCIENCE PUBL2022

An automatized signal timing detection at signalized intersections with detailed vehicle trajectory data

Nikolaos Geroliminis, Emmanouil Barmpounakis, Jasso Espadaler Clapés

Signalized intersections are a fundamental part of urban networks. Their understanding is crucial to identify congestion patterns, queues, delays, and safety issues in local and network level. In this work, we analyze multimodal vehicle trajectories and pr ...

2022

Large-scale traffic signal control and multimodal network design

Dimitrios Tsitsokas

Traffic congestion constitutes one of the most frequent, yet challenging, problems to address in the urban space. Caused by the concentration of population, whose mobility needs surpass the serving capacity of urban networks, congestion cannot be resolved ...

EPFL2022

Cross-sections of line configurations in R-3 and (d-2)-flat configurations in R-d

Andres Jacinto Ruiz Vargas

We consider sets L = {l(1),..., l(n)} of n labeled lines in general position in R-3, and study the order types of point sets {p(1),..., p(n)} that stem from the intersections of the lines in L with (directed) planes Pi, not parallel to any line of L, that ...

ELSEVIER SCIENCE BV2019

Extending the Scope of the Density Overlap Region Indicator

Laurent Alexis Clément Vannay

In this thesis, original applications of the Density Overlap Region Indicator (DORI), a density dependent bonding descriptor capable of simultaneously capturing covalent and noncovalent interactions, are discussed. The use of scalar fields, such as DORI, w ...

EPFL2018

Fluorescence Quenching in BODIPY Dyes: the Role of Intramolecular Interactions and Charge Transfer

Anne-Clémence Corminboeuf, Antonio Prlj, Laurent Alexis Clément Vannay

The fluorescence properties of the BODIPY dye and its two meso-substituted derivatives, tert-butyl- and phenyl-BODIPY, are rationalized. The non emissive behavior of the latter two are attributed to the energetically accessible low-lying conical intersecti ...

Wiley-Blackwell2017

Method, apparatus and program for processing a circular light field

Martin Vetterli, Loïc Arnaud Baboulaz, Zhou Xue

Method for processing a circular light field comprising the step of receiving or storing a circular light field matrix, wherein the circular light field matrix comprises pixel data for different circumferential angles and for different incidence angles, wh ...

2017

On the Richter-Thomassen Conjecture about Pairwise Intersecting Closed Curves

János Pach, Gábor Tardos

A long-standing conjecture of Richter and Thomassen states that the total number of intersection points between any n simple closed Jordan curves in the plane, so that any pair of them intersect and no three curves pass through the same point, is at least ...

Cambridge Univ Press2016

The Critical Shear Crack Theory for punching design: from a mechanical model to closed-form design expressions

Aurelio Muttoni, Miguel Fernández Ruiz

The Critical Shear Crack Theory (CSCT) is a consistent approach used for shear design of one- and two-way slabs failing in shear and punching shear respectively. The theory is based on a mechanical model allowing to determine the amount of shear force that ...

2016

The Essence of Dependent Object Types

Martin Odersky, Tiark Rompf, Nada Amin, Sandro Stucki, Karl Samuel Grütter

Focusing on path-dependent types, the paper develops foundations for Scala from first principles. Starting from a simple calculus D-

Springer International Publishing2016

NANO-TERA.CH: Electronic Technology for Health Management

Giovanni De Micheli

The Swiss Nano-Tera.ch program addresses – among others – issues at the intersection of engineering and medical domains. Specifically, electronic-health (or E-Health) is a broad area of engineering that leverages transducer, circuit and systems technologie ...

2015

Coloring Intersection Graphs of Arc-Connected Sets in the Plane

Bartosz Maria Walczak, Michal Lason

A family of sets in the plane is simple if the intersection of any subfamily is arc-connected, and it is pierced by a line L if the intersection of any member with L is a nonempty segment. It is proved that the intersection graphs of simple families of com ...

Springer2014

Micro-simulation Modeling of Coordination of Automated Guided Vehicles at Intersection

Denis Gillet, André-Gilles Dumont, Laleh Makarem, Minh Hai Pham

One of the challenges with autonomous vehicles is their performance at intersections. An alternative control method for the coordination of autonomous vehicles at intersections is shown. The proposed approach was grounded in multiple-robot coordination and ...

National Academy of Sciences2012

Collision-Free Intersection Crossing of Mobile Robots Using Decentralized Navigation Functions on Predefined Paths

Denis Gillet, Laleh Makarem, Benjamin Fankhauser

This paper deals with the coordination of a group of mobile robots at an intersection. It focusses on decentralized navigation functions (DNFs) to achieve efficient traffic control. The main challenge is to define virtual potentials, which are used by dece ...

2011

Design of Optimal Traffic Flow Control at Intersection with Regard for Queue Length Constraints

Jack Haddad

Consideration was given to a well-known problem of traffic control at an individual intersection with minimal total delay. The constraints on control (duration of green light in the main direction) and phase variables (queue lengths along each direction) w ...

2011

Tangencies between families of disjoint regions in the plane

János Pach

Let C be a family of n convex bodies in the plane, which can be decomposed into k subfamilies of pairwise disjoint sets. It is shown that the number of tangencies between the members of C is at most O(kn), and that this bound cannot be improved. If we only ...

2010