output
20132022
most citedCosmology and Fundamental Physics with the Euclid Satellite

1k citations

97 papers

math.AG2022

Convex hulls of surfaces in fourspace

Chiara Meroni, Kristian Ranestad, Rainer Sinn

This is a case study of the algebraic boundary of convex hulls of varieties. We focus on surfaces in fourspace to showcase new geometric phenomena that neither curves nor hypersurf…

hep-th2020★ 20 cited

Horndeski under the quantum loupe

Lavinia Heisenberg, Johannes Noller, Jann Zosso

With recent constraints on the propagation speed of gravitational waves, the class of scalar-tensor theories has significantly been reduced. We consider one of the surviving models…

astro-ph.CO2020★ 50 cited

Cosmological constraints on dark energy in light of gravitational wave bounds

Johannes Noller

Gravitational wave (GW) constraints have recently been used to significantly restrict models of dark energy and modified gravity. New bounds arising from GW decay and GW-induced da…

gr-qc2019★ 26 cited

Black Hole Ringdown as a Probe for Dark Energy

Johannes Noller, Luca Santoni, Enrico Trincherini +1

Under the assumption that a dynamical scalar field is responsible for the current acceleration of the Universe, we explore the possibility of probing its physics in black hole merg…

math.CO2019★ 6 cited

Counting Hamilton cycles in Dirac hypergraphs

Stefan Glock, Stephen Gould, Felix Joos +2

A tight Hamilton cycle in a -uniform hypergraph (-graph) is a cyclic ordering of the vertices of such that every set of consecutive vertices in the ordering forms…

math.AG2019★ 15 cited

Scattering diagrams, stability conditions, and coherent sheaves on

Pierrick Bousseau

We show that a purely algebraic structure, a two-dimensional scattering diagram, describes a large part of the wall-crossing behavior of moduli spaces of Bridgeland semistable obje…

math.PR2019★ 53 cited

Edge Universality for non-Hermitian Random Matrices

Giorgio Cipolloni, László Erdős, Dominik Schröder

We consider large non-Hermitian real or complex random matrices with independent, identically distributed centred entries. We prove that their local eigenvalue statistics near…

math.CO2019★ 22 cited

Pseudorandom hypergraph matchings

Stefan Ehard, Stefan Glock, Felix Joos

A celebrated theorem of Pippenger states that any almost regular hypergraph with small codegrees has an almost perfect matching. We show that one can find such an almost perfect ma…

gr-qc2019★ 47 cited

Scale independent inflation

Pedro G. Ferreira, Christopher T. Hill, Johannes Noller +1

Weyl (scale) invariant theories of scalars and gravity can generate all mass scales spontaneously. In this paper we study a particularly simple version -- scale invariant gra…

quant-ph2019★ 73 cited

Constraints on nonlocality in networks from no-signaling and independence

Nicolas Gisin, Jean-Daniel Bancal, Yu Cai +5

Generalising the concept of Bell nonlocality to networks leads to novel forms of correlations, the characterization of which is however challenging. Here we investigate constraints…

math.AT2019★ 5 cited

On the functoriality of sl(2) tangle homology

Anna Beliakova, Matthew Hogancamp, Krzysztof Karol Putyra +1

We construct an explicit equivalence between the (bi)category of gl(2) webs and foams and the Bar-Natan (bi)category of Temperley-Lieb diagrams and cobordisms. With this equivalenc…

math.AG2019★ 8 cited

Refined floor diagrams from higher genera and lambda classes

Pierrick Bousseau

We show that, after the change of variables , refined floor diagrams for and Hirzebruch surfaces compute generating series of higher genus relative Gromov-…

astro-ph.CO2019★ 75 cited

Positivity in the sky

Scott Melville, Johannes Noller

Positivity bounds - the consequences of requiring a unitary, causal, local UV completion - place strong restrictions on theories of dark energy and/or modified gravity. We derive a…

gr-qc2019★ 29 cited

The canonical frame of purified gravity

Jose Beltrán Jiménez, Lavinia Heisenberg, Tomi S. Koivisto

In the recently introduced gauge theory of translations, dubbed Coincident General Relativity, gravity is described with neither torsion nor curvature in the spacetime affine geome…

cs.DC2019★ 11 cited

Communication cost of consensus for nodes with limited memory

Giulia Fanti, Nina Holden, Yuval Peres +1

Motivated by applications in blockchains and sensor networks, we consider a model of nodes trying to reach consensus on their majority bit. Each node is assigned a bit at t…

astro-ph.CO2018★ 93 cited

Cosmological parameter constraints for Horndeski scalar-tensor gravity

Johannes Noller, Andrina Nicola

We present new cosmological parameter constraints for general Horndeski scalar-tensor theories, using CMB, redshift space distortion, matter power spectrum and BAO measurements fro…

astro-ph.CO2018★ 16 cited

Radiative stability and observational constraints on dark energy and modified gravity

Johannes Noller, Andrina Nicola

We investigate the radiative stability of Horndeski scalar-tensor theories with luminally propagating gravitational waves (as extensively discussed in the wake of GW170817) and sho…

math.CO2018★ 4 cited

Dense induced bipartite subgraphs in triangle-free graphs

Matthew Kwan, Shoham Letzter, Benny Sudakov +1

The problem of finding dense induced bipartite subgraphs in -free graphs has a long history, and was posed 30 years ago by Erdős, Faudree, Pach and Spencer. In this paper, we ob…

math.CO2018★ 2 cited

Monochromatic trees in random tournaments

Matija Bucic, Sven Heberle, Shoham Letzter +1

We prove that, with high probability, in every -edge-colouring of the random tournament on vertices there is a monochromatic copy of every oriented tree of order $O (n / \sq…

math.PR2018★ 9 cited

Cusp Universality for Random Matrices I: Local Law and the Complex Hermitian Case

László Erdős, Torben Krüger, Dominik Schröder

For complex Wigner-type matrices, i.e. Hermitian random matrices with independent, not necessarily identically distributed entries above the diagonal, we show that at any cusp sing…

math.CO2018

Euler tours in hypergraphs

Stefan Glock, Felix Joos, Daniela Kühn +1

We show that a quasirandom -uniform hypergraph has a tight Euler tour subject to the necessary condition that divides all vertex degrees. The case when is complete c…

math.CO2018

Minimalist designs

Ben Barber, Stefan Glock, Daniela Kühn +3

The iterative absorption method has recently led to major progress in the area of (hyper-)graph decompositions. Amongst other results, a new proof of the Existence conjecture for c…

gr-qc2018★ 370 cited

A systematic approach to generalisations of General Relativity and their cosmological implications

Lavinia Heisenberg

A century ago, Einstein formulated his elegant and elaborate theory of General Relativity, which has so far withstood a multitude of empirical tests with remarkable success. Notwit…

gr-qc2018★ 14 cited

Gauge-ready formulation of cosmological perturbations in scalar-vector-tensor theories

Lavinia Heisenberg, Ryotaro Kase, Shinji Tsujikawa

In scalar-vector-tensor (SVT) theories with parity invariance, we perform a gauge-ready formulation of cosmological perturbations on the flat Friedmann-Lemaître-Robertson-Walker (F…