Results 61 to 70 of about 128,872 (280)

Differential equations and conformal structures

, 2006
We provide five examples of conformal geometries which are naturally associated with ordinary differential equations (ODEs). The first example describes a one-to-one correspondence between the Wuenschmann class of 3rd order ODEs considered modulo contact
Cartan, Cartan, Cartan, Cartan, Chern, Dunajski, Fefferman, Fefferman, Fritelli, Fritelli, Fritelli, Hilbert, Kobayashi, Newman, Newman, Nurowski, Olver, Paweł Nurowski, Penrose, Penrose, Petrov, Tod, Wuenschmann   +22 more
core   +1 more source

Möbius Transformations in Noncommutative Conformal Geometry [PDF]

Communications in Mathematical Physics, 1999
We study the projective linear group PGL_2(A), associated with an arbitrary algebra A, and its subgroups from the point of view of their action on the space of involutions in A. This action formally resembles Moebius transformations known from complex geometry.
Bongaarts, P.J.M., Brodzki, J.
openaire   +3 more sources

Recurrent cancer‐associated ERBB4 mutations are transforming and confer resistance to targeted therapies

Molecular Oncology, EarlyView.
We show that the majority of the 18 analyzed recurrent cancer‐associated ERBB4 mutations are transforming. The most potent mutations are activating, co‐operate with other ERBB receptors, and are sensitive to pan‐ERBB inhibitors. Activating ERBB4 mutations also promote therapy resistance in EGFR‐mutant lung cancer.
Veera K. Ojala, Sini Ahonen, Sara Peltola, Aura Tuohisto‐Kokko, Olaya Esparta, Peppi Suominen, Anne Jokilammi, Iman Farahani, Deepankar Chakroborty, Nikol Dibus, Steffen Boettcher, Tomi T. Airenne, Mark S. Johnson, Lisa D. Eli, Klaus Elenius, Kari J. Kurppa   +15 more
wiley   +1 more source

The Mellin formalism for boundary CFT d

Journal of High Energy Physics, 2017
We extend the Mellin representation of conformal field theory (CFT) to allow for conformal boundaries and interfaces. We consider the simplest holographic setup dual to an interface CFT — a brane filling an AdS d subspace of AdS d+1 — and perform a ...
Leonardo Rastelli, Xinan Zhou
doaj   +1 more source

Geometry and Shape of Minkowski's Space Conformal Infinity

, 2011
We review and further analyze Penrose's 'light cone at infinity' - the conformal closure of Minkowski space. Examples of a potential confusion in the existing literature about it's geometry and shape are pointed out.
Akivis, Anglès, Arkadiusz Jadczyk, Artmann, Bateman, Bateman, Blaschke, Cecil, Coquereaux, Cunningham, Garnier, Hilbert, Huggett, Jadczyk, Kopczyński, Lie, Penrose, Penrose, Penrose, Pratt, Schrott, Segal, Uhlmann, Werth   +23 more
core   +1 more source

Conformal Field Theory and Hyperbolic Geometry [PDF]

Physical Review Letters, 1994
We examine the correspondence between the conformal field theory of boundary operators and two-dimensional hyperbolic geometry. By consideration of domain boundaries in two-dimensional critical systems, and the invariance of the hyperbolic length, we motivate a reformulation of the basic equation of conformal covariance.
Kleban, P., Vassileva, I.
openaire   +4 more sources

Enzymatic degradation of biopolymers in amorphous and molten states: mechanisms and applications

FEBS Open Bio, EarlyView.
This review explains how polymer morphology and thermal state shape enzymatic degradation pathways, comparing amorphous and molten biopolymer structures. By integrating structure–reactivity principles with insights from thermodynamics and enzyme engineering, it highlights mechanisms that enable efficient polymer breakdown.
Anđela Pustak, Aleksandra Maršavelski
wiley   +1 more source

CONFORMAL GEOMETRY AND ELEMENTARY PARTICLES

Proceedings of the National Academy of Sciences, 1954
The kinematical consequences of basing (classical or quantum) field theory on the conformal geometry are examined in this paper. The space in question is that of all spheres inR 4 (flat 4-space of signature (+++−)); the fundamental invariant, the angle under which two spheres intersect.
openaire   +4 more sources

Analysing the significance of small conformational changes and low occupancy states in serial crystallographic data

FEBS Open Bio, EarlyView.
This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill, Yelyzaveta Pulnova, Elke De Zitter, Helen M. Ginn, Briony A. Yorke   +4 more
wiley   +1 more source

Enzymatic and microbial routes to bioplastics: The green chemistry frontier of biopolymers

FEBS Open Bio, EarlyView.
Microbial biosynthesis and engineered enzyme platforms are expanding the design space of polyhydroxyalkanoate bioplastics. By combining fermentation, PHA synthase engineering and cell‐free modular systems, tailored biodegradable polymers can be produced with tunable properties, supporting more sustainable materials and future circular bioeconomy ...
Giovanni Gallo, Emma Piccoli, Luca Bombardi, Martina Aulitto, Salvatore Fusco   +4 more
wiley   +1 more source