On a Sunday filled with excitement, Bitcoin reached a new peak, hitting $80, 000 for the first time. This incredible surge was part of a broader rally in cryptocurrencies, with Bitcoin's price jumping by nearly 5% to $79, 800. 19. Ethereum, the second-largest cryptocurrency, also saw a rise, climbin
Imagine a walker exploring a network of paths, each path with its own set of random rules. This is a random walk in a random environment, or RWRE, and when these rules are based on something called the Dirichlet environment, something really interesting happens. Normally, RWREs are all about the ra
Are you tired of the usual way of looking at continuous-time finance? It's time to think outside the box with a new approach called causal functional calculus. Unlike traditional methods, this one doesn't rely on probabilities or integration theories. Instead, it focuses on a concept called self-fin
Healthcare plays a huge role in Europe's economy. To understand and guess future funding, researchers use mathematical models. Three big ways to look at healthcare funding are: government spending on health as a chunk of GDP, as a slice of all government spending, and how much each person gets. This
Have you ever considered using Large Language Models (LLMs) for time series (TS) tasks? Instead of training new models from scratch, you can fine-tune existing LLMs to handle TS data. This approach is known as TS-for-LLM. The challenge with TS data is its complexity and scarcity. To tackle this, a
Feeling sleepy during the day? It might be more than just tiredness, especially if you're older. A new study found that people who feel exhausted and lack enthusiasm have a higher risk of developing something called motoric cognitive risk syndrome (MCR). This syndrome links to a slow walking speed a
Precious Brady-Davis, a Black transgender woman, just won a local election but felt disappointed that the US didn't elect a female president. Many women voters also shared this sentiment. Despite Kamala Harris' historic run, she didn't secure enough votes to win. Some women supported Trump for his v
Imagine you're exploring the world of finance, but this time, you're not dealing with probabilities. We're talking about a new approach called causal functional calculus. This method focuses on the paths taken by financial assets, not just their possible outcomes. One key idea here is something cal
Imagine you're walking through a park, but the path you take isn't just random—it's determined by a series of independent probabilities. This is the essence of a random walk in a Dirichlet environment. In this environment, the chances of moving from one spot to another are not fixed but are themselv
You might spot some amazing shooting stars this fall! The Taurid meteor shower will be visible soon. NASA says it's one of the biggest meteor showers, thanks to Comet Encke. This comet left a bunch of space debris behind, and when Earth passes through it, we see a show! The shower has two parts: the
