Kavli Affiliate: Alexey Bondal | First 5 Authors: Agnieszka Bodzenta, Alexey Bondal, , , | Summary: We define the functor $textrm{ncDef}_{(Z_1,ldots,Z_n)}$ of non-commutative deformations of an $n$-tuple of objects in an arbitrary $k$-linear abelian category $mathcal{Z}$. In our categorified approach, we view the underlying spaces of infinitesimal flat deformations as Deligne finite categories, i.e. finite […]
Kavli Affiliate: Ran Wang | First 5 Authors: Mohamed Naveed Gul Mohamed, Suman Chakravorty, Raman Goyal, Ran Wang, | Summary: We consider the problem of nonlinear stochastic optimal control. This problem is thought to be fundamentally intractable owing to Bellman’s "curse of dimensionality". We present a result that shows that repeatedly solving an open-loop deterministic […]
Kavli Affiliate: Ran Wang | First 5 Authors: Mohamed Naveed Gul Mohamed, Suman Chakravorty, Raman Goyal, Ran Wang, | Summary: We consider the problem of nonlinear stochastic optimal control. This problem is thought to be fundamentally intractable owing to Bellman’s “curse of dimensionality". We present a result that shows that repeatedly solving an open-loop deterministic […]
Kavli Affiliate: Ran Wang | First 5 Authors: Mohamed Naveed Gul Mohamed, Suman Chakravorty, Raman Goyal, Ran Wang, | Summary: We consider the problem of nonlinear stochastic optimal control. This problem is thought to be fundamentally intractable owing to Bellman’s infamous "curse of dimensionality". We present a result that shows that repeatedly solving an open-loop […]
Kavli Affiliate: Sander J. Tans | First 5 Authors: Rachel Los, Duco van Holthe tot Echten, Gerhard Nordemann, Martijn Wehrens, Sander J. Tans | Summary: Colonies of rod-shaped bacteria constitute a system of colloidal active matter with nematic properties. As a single initial bacterium multiplies through repeated divisions, the resulting colony quickly loses long-range orientational […]
Kavli Affiliate: Brad J. Ramshaw | First 5 Authors: Mun K. Chan, Ross D. McDonald, Brad J. Ramshaw, Jon B. Betts, Arkady Shekhter | Summary: High magnetic fields have revealed a surprisingly small Fermi-surface in underdoped cuprates, possibly resulting from Fermi-surface reconstruction due to an order parameter that breaks translational symmetry of the crystal lattice. […]
Kavli Affiliate: Dheeraj Pasham | First 5 Authors: Shuo Zhang, Zhenlin Zhu, Hui Li, Dheeraj Pasham, Zhiyuan Li | Summary: One of the most unique phenomena in the Galactic center region is the existence of numerous long and narrow filamentary structures within a few hundred parsecs of Sgr A$^{star}$. While more than one than one […]
Kavli Affiliate: Dheeraj Pasham | First 5 Authors: Shuo Zhang, Zhenlin Zhu, Hui Li, Dheeraj Pasham, Zhiyuan Li | Summary: One of the most unique phenomena in the Galactic center region is the existence of numerous long and narrow filamentary structures within a few hundred parsecs of Sgr A$^{star}$. While more than one than one […]
Kavli Affiliate: Robert J. Wood | First 5 Authors: Kaushik Jayaram, Jennifer Shum, Samantha Castellanos, E. Farrell Helbling, Robert J. Wood | Summary: Here we present HAMR-Jr, a SI{22.5}{millimeter}, SI{320}{milligram} quadrupedal microrobot. With eight independently actuated degrees of freedom, HAMR-Jr is, to our knowledge, the most mechanically dexterous legged robot at its scale and is […]
Kavli Affiliate: Robert J. Wood | First 5 Authors: Kaushik Jayaram, Jennifer Shum, Samantha Castellanos, E. Farrell Helbling, Robert J. Wood | Summary: Here we present HAMR-Jr, a SI{22.5}{millimeter}, SI{320}{milligram} quadrupedal microrobot. With eight independently actuated degrees of freedom, HAMR-Jr is, to our knowledge, the most mechanically dexterous legged robot at its scale and is […]