Publications related to Kepler conjecture

Six-dimensional sphere packing and linear programming

Maryna Viazovska, Matthew De Courcy-Ireland, Maria Margarethe Dostert

We prove that the Cohn-Elkies linear programming bound for sphere packing is not sharp in dimension 6. The proof uses duality and optimization over a space of modular forms, generalizing a construction of Cohn- Triantafillou [Math. Comp. 91 (2021), pp. 491 ...

Amer Mathematical Soc2024

The rule of four: anomalous distributions in the stoichiometries of inorganic compounds

Nicola Marzari, Marnik Bercx, Elena Gazzarrini, Carl Simon Adorf

Why are materials with specific characteristics more abundant than others? This is a fundamental question in materials science and one that is traditionally difficult to tackle, given the vastness of compositional and configurational space. We highlight he ...

Nature Portfolio2024

Six-dimensional sphere packing and linear programming

Maryna Viazovska, Matthew De Courcy-Ireland, Maria Margarethe Dostert

We prove that the Cohn-Elkies linear programming bound for sphere packing is not sharp in dimension 6. The proof uses duality and optimization over a space of modular forms, generalizing a construction of Cohn-Triantafillou to the case of odd weight and no ...

arXiv2022

Postbuckling behavior and imperfection sensitivity of elastic-plastic periodic plate-lattice materials

Fani Derveni

Advances in additive manufacturing have enabled a new generation of materials with advantageous properties inherent to their architecture. Recently, architected materials with periodic arrangements of plates, called plate-lattice materials, have been devel ...

ELSEVIER2022

Crystallization kinetics of atomic crystals revealed by a single-shot and single-particle X-ray diffraction experiment

Christoph Bostedt, Alessandro Colombo, Giorgio Rossi

Crystallization is a fundamental natural phenomenon and the ubiquitous physical process in materials science for the design of new materials. So far, experimental observations of the structural dynamics in crystallization have been mostly restricted to slo ...

NATL ACAD SCIENCES2021

Emergent dual topology in the three-dimensional Kane-Mele Pt2HgSe3

Nicola Marzari, Marco Gibertini, Antimo Marrazzo

Recently, the very first large-gap Kane-Mele quantum spin Hall insulator was predicted to be monolayer jacutingaite (Pt2HgSe3), a naturally occurring exfoliable mineral discovered in Brazil in 2008. The stacking of quantum spin Hall monolayers into a van-d ...

AMER PHYSICAL SOC2020

Concordia: A musical XR instrument for playing the solar system

Petter Harald Ericson

Kepler Concordia, a new scientific and musical instrument enabling players to explore the solar system and other data within immersive extended-reality (XR) platforms, is being designed by a diverse team of musicians, artists, scientists and engineers usin ...

ROUTLEDGE JOURNALS, TAYLOR & FRANCIS LTD2020

Numerical simulation and sensitivity analysis of a low-Reynolds-number flow around a square cylinder controlled using plasma actuators

François Gallaire, Edouard Boujo, Philippe Meliga

Flow around a square cylinder controlled using plasma actuators (PAs) is numerically investigated by direct numerical simulation in order to clarify the most effective location of actuator installation and to elucidate the mechanism of control effect. The ...

Amer Physical Soc2017

Scaling for hard-sphere colloidal glasses near jamming

Eric DeGiuli

Hard-sphere colloids are model systems in which to study the glass transition and universal properties of amorphous solids. Using covariance matrix analysis to determine the vibrational modes, we experimentally measure here the scaling behavior of the dens ...

EDP Sciences2016

X-ray structure of a lectin-bound DNA duplex containing an unnatural phenanthrenyl pair

Maria Josefina Marcaida Lopez

DNA duplexes containing unnatural base-pair surrogates are attractive biomolecular nanomaterials with potentially beneficial photophysical or electronic properties. Herein we report the first X-ray structure of a duplex containing a phen-pair in the center ...

Royal Soc Chemistry2016

Kepler conjecture

Six-dimensional sphere packing and linear programming

The rule of four: anomalous distributions in the stoichiometries of inorganic compounds

Six-dimensional sphere packing and linear programming

Postbuckling behavior and imperfection sensitivity of elastic-plastic periodic plate-lattice materials

Crystallization kinetics of atomic crystals revealed by a single-shot and single-particle X-ray diffraction experiment

Emergent dual topology in the three-dimensional Kane-Mele Pt2HgSe3

Concordia: A musical XR instrument for playing the solar system

Numerical simulation and sensitivity analysis of a low-Reynolds-number flow around a square cylinder controlled using plasma actuators

Scaling for hard-sphere colloidal glasses near jamming

X-ray structure of a lectin-bound DNA duplex containing an unnatural phenanthrenyl pair

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Emergent dual topology in the three-dimensional Kane-Mele Pt2HgSe3

Numerical simulation and sensitivity analysis of a low-Reynolds-number flow around a square cylinder controlled using plasma actuators

X-ray structure of a lectin-bound DNA duplex containing an unnatural phenanthrenyl pair

Six-dimensional sphere packing and linear programming

Six-dimensional sphere packing and linear programming

The rule of four: anomalous distributions in the stoichiometries of inorganic compounds

Crystallization kinetics of atomic crystals revealed by a single-shot and single-particle X-ray diffraction experiment

Postbuckling behavior and imperfection sensitivity of elastic-plastic periodic plate-lattice materials

Concordia: A musical XR instrument for playing the solar system

Scaling for hard-sphere colloidal glasses near jamming