Tootfinder

Mother-daughter duo transforms beach waste into stunning eco-friendly home, inspiring sustainable living and creativity. #climatechange #climatesolutions #climate

Mother-daughter duo turn beach waste into incredible seven-room home: 'So creative and so beautiful'
Brazilian builders Edna and Maria Gabrielly Dantas turned 8,000 discarded bottles from Itamaraca's beaches into the Salt House.

Super-Quadratic Quantum Speed-ups and Guessing Many Likely Keys
Timo Glaser, Alexander May, Julian Nowakowski
https://arxiv.org/abs/2509.06549 https://arxi…

Super-Quadratic Quantum Speed-ups and Guessing Many Likely Keys
We study the fundamental problem of guessing cryptographic keys, drawn from some non-uniform probability distribution $D$, as e.g. in LPN, LWE or for passwords. The optimal classical algorithm enumerates keys in decreasing order of likelihood. The optimal quantum algorithm, due to Montanaro (2011), is a sophisticated Grover search. We give the first tight analysis for Montanaro's algorithm, showing that its runtime is $2^{H_{2/3}(D)/2}$, where $H_α(\cdot)$ denotes Renyi entropy with paramete…

Wenn ein paar Punks aus Ibbenbüren ein Metalfestival zum Kochen bringen... und die Fans dann im Circlepit 'ne Matschburg bauen...
#summerbreeze #summerbreeze2025 #Donots

Committing to the bit: Relational programming with semiring arrays and SAT solving
Dmitri Volkov, Yafei Yang, Chung-chieh Shan
https://arxiv.org/abs/2509.22614 https://

Committing to the bit: Relational programming with semiring arrays and SAT solving
We propose semiringKanren, a relational programming language where each relation expression denotes a semiring array. We formalize a type system that restricts the arrays to finite size. We then define a semantics that is parameterized by the semiring that the arrays draw their elements from. We compile semiringKanren types to bitstring representations. For the Boolean semiring, this compilation enables us to use an SAT solver to run semiringKanren programs efficiently. We compare the performan…

Designing Robots with, not for: A Co-Design Framework for Empowering Interactions in Forensic Psychiatry
Qiaoqiao Ren, Remko Proesmans, Arend Pissens, Lara Dehandschutter, William Denecker, Lotte Rouckhout, Joke Carrette, Peter Vanhopplinus, Tony Belpaeme, Francis wyffels
https://arxiv.org/abs/2507.14931

Designing Robots with, not for: A Co-Design Framework for Empowering Interactions in Forensic Psychiatry
Forensic mental health care involves the treatment of individuals with severe mental disorders who have committed violent offences. These settings are often characterized by high levels of bureaucracy, risk avoidance, and restricted autonomy. Patients frequently experience a profound loss of control over their lives, leading to heightened psychological stress-sometimes resulting in isolation as a safety measure. In this study, we explore how co-design can be used to collaboratively develop a co…

Growth rates for the H\"older coefficients of the linear stochastic fractional heat equation with rough dependence in space
Chang Liu, Bin Qian, Ran Wang
https://arxiv.org/abs/2507.22379

Growth rates for the Hölder coefficients of the linear stochastic fractional heat equation with rough dependence in space
We study the linear stochastic fractional heat equation $$ \frac{\partial}{\partial t}u(t,x)=-(-Δ)^{\fracα{2}}u(t,x)+\dot{W}(t,x), \quad t>0, \quad x\in\mathbb{R}, $$ where $-(-Δ)^{\fracα{2}}$ denotes the fractional Laplacian with power $α\in (1,2)$, and the driving noise $\dot{W}$ is a centered Gaussian field that is white in time and has the covariance of a fractional Brownian motion with Hurst parameter $H\in\left(\frac{2-α}{2},\frac{1}{2}\right)$. We establish exact asymptotics for …

On the system of length sets of power monoids
Andreas Reinhart
https://arxiv.org/abs/2508.10209 https://arxiv.org/pdf/2508.10209

On the system of length sets of power monoids
The set $\mathcal{P}_{{\rm fin},0}(\mathbb{N}_0)$ of all finite subsets of $\mathbb{N}_0$ containing the zero element is a monoid with set addition as operation. If a set $A\in\mathcal{P}_{{\rm fin},0}(\mathbb{N}_0)$ can be written in the form $A=\sum_{i=1}^{\ell} A_i$ with $\ell\in\mathbb{N}_0$ and indecomposable elements $(A_i)_{i=1}^{\ell}$ of $\mathcal{P}_{{\rm fin},0}(\mathbb{N}_0)$, then $\ell$ is a factorization length of $A$ and $\mathsf{L}(A)\subseteq\mathbb{N}_0$ denotes the set of al…

A triple convolution sum of the divisor function
Bikram Misra, M. Ram Murty, Biswajyoti Saha
https://arxiv.org/abs/2508.13082 https://arxiv.org/pdf/2508.13…

A triple convolution sum of the divisor function
We study the triple convolution sum of the divisor function given by $$\sum_{n\leq x} d(n)d(n-h)d(n+h)$$ for $h\neq 0$ and $d(n)$ denotes the number of positive divisors of $n$. Based on algebraic and geometric considerations, Browning conjectured that the above sum is asymptotic to $c_hx(\log x)^3$, for a suitable constant $c_h\neq 0$, as $x\to \infty$. This conjecture is still unproved. The purpose of this paper is two-fold. First, we show that there are positive constants $A,B$ such that $$A…

Uniqueness of diffeomorphic minimizers of $L^p$-mean distortion
Yizhe Zhu
https://arxiv.org/abs/2507.20597 https://arxiv.org/pdf/2507.20597

Uniqueness of diffeomorphic minimizers of $L^p$-mean distortion
We study the $L^p$-mean distortion functionals, \[{\cal E}_p[f] = \int_\mathbb Y K^p_f(z) \; dz, \] for Sobolev homeomorphisms $f: \overline{\mathbb Y}\xrightarrow{\rm onto} \overline{\mathbb X}$ where $\mathbb X$ and $\mathbb Y$ are bounded simply connected Lipschitz domains, and $f$ coincides with a given boundary map $f_0 \colon \partial \mathbb Y \to \partial \mathbb X$. Here, $K_f(z)$ denotes the pointwise distortion function of $f$. It is conjectured that for every $1 < p < \infty$, the f…

Terahertz third-harmonic generation of lightwave driven Weyl fermions far from equilibrium
Patrick Pilch, Changqing Zhu, Sergey Kovalev, Renato M. A. Dantas, Amilcar Bedoya-Pinto, Stuart S. P. Parkin, Zhe Wang
https://arxiv.org/abs/2508.16166

Terahertz third-harmonic generation of lightwave driven Weyl fermions far from equilibrium
We report on time-resolved ultrafast terahertz third-harmonic generation spectroscopy of nonequilibrium dynamics of Weyl fermions in a nanometer thin film of the Weyl semimetal TaP. Under a strong multicycle narrowband terahertz drive, very efficient terahertz third-harmonic generation is observed at room temperature which exhibits a perturbative cubic power-law dependence on the terahertz drive. By varying the polarization of the drive pulse from linear to elliptical, we realize a sensitive tu…